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Simplifying 2(8x + -6) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3) Reorder the terms: 2(-6 + 8x) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3) (-6 * 2 + 8x * 2) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3) (-12 + 16x) + -5(7x + -8) = 3(7x + -5) + -9(4x + -3) Reorder the terms: -12 + 16x + -5(-8 + 7x) = 3(7x + -5) + -9(4x + -3) -12 + 16x + (-8 * -5 + 7x * -5) = 3(7x + -5) + -9(4x + -3) -12 + 16x + (40 + -35x) = 3(7x + -5) + -9(4x + -3) Reorder the terms: -12 + 40 + 16x + -35x = 3(7x + -5) + -9(4x + -3) Combine like terms: -12 + 40 = 28 28 + 16x + -35x = 3(7x + -5) + -9(4x + -3) Combine like terms: 16x + -35x = -19x 28 + -19x = 3(7x + -5) + -9(4x + -3) Reorder the terms: 28 + -19x = 3(-5 + 7x) + -9(4x + -3) 28 + -19x = (-5 * 3 + 7x * 3) + -9(4x + -3) 28 + -19x = (-15 + 21x) + -9(4x + -3) Reorder the terms: 28 + -19x = -15 + 21x + -9(-3 + 4x) 28 + -19x = -15 + 21x + (-3 * -9 + 4x * -9) 28 + -19x = -15 + 21x + (27 + -36x) Reorder the terms: 28 + -19x = -15 + 27 + 21x + -36x Combine like terms: -15 + 27 = 12 28 + -19x = 12 + 21x + -36x Combine like terms: 21x + -36x = -15x 28 + -19x = 12 + -15x Solving 28 + -19x = 12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 28 + -19x + 15x = 12 + -15x + 15x Combine like terms: -19x + 15x = -4x 28 + -4x = 12 + -15x + 15x Combine like terms: -15x + 15x = 0 28 + -4x = 12 + 0 28 + -4x = 12 Add '-28' to each side of the equation. 28 + -28 + -4x = 12 + -28 Combine like terms: 28 + -28 = 0 0 + -4x = 12 + -28 -4x = 12 + -28 Combine like terms: 12 + -28 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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