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Simplifying 7(3x + -4) + -1(8x + -12) = 3(2x + 4) Reorder the terms: 7(-4 + 3x) + -1(8x + -12) = 3(2x + 4) (-4 * 7 + 3x * 7) + -1(8x + -12) = 3(2x + 4) (-28 + 21x) + -1(8x + -12) = 3(2x + 4) Reorder the terms: -28 + 21x + -1(-12 + 8x) = 3(2x + 4) -28 + 21x + (-12 * -1 + 8x * -1) = 3(2x + 4) -28 + 21x + (12 + -8x) = 3(2x + 4) Reorder the terms: -28 + 12 + 21x + -8x = 3(2x + 4) Combine like terms: -28 + 12 = -16 -16 + 21x + -8x = 3(2x + 4) Combine like terms: 21x + -8x = 13x -16 + 13x = 3(2x + 4) Reorder the terms: -16 + 13x = 3(4 + 2x) -16 + 13x = (4 * 3 + 2x * 3) -16 + 13x = (12 + 6x) Solving -16 + 13x = 12 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -16 + 13x + -6x = 12 + 6x + -6x Combine like terms: 13x + -6x = 7x -16 + 7x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -16 + 7x = 12 + 0 -16 + 7x = 12 Add '16' to each side of the equation. -16 + 16 + 7x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = 12 + 16 7x = 12 + 16 Combine like terms: 12 + 16 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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