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Simplifying 8(2x + 5) + -4(3x + 3) = 2(5x + -10) Reorder the terms: 8(5 + 2x) + -4(3x + 3) = 2(5x + -10) (5 * 8 + 2x * 8) + -4(3x + 3) = 2(5x + -10) (40 + 16x) + -4(3x + 3) = 2(5x + -10) Reorder the terms: 40 + 16x + -4(3 + 3x) = 2(5x + -10) 40 + 16x + (3 * -4 + 3x * -4) = 2(5x + -10) 40 + 16x + (-12 + -12x) = 2(5x + -10) Reorder the terms: 40 + -12 + 16x + -12x = 2(5x + -10) Combine like terms: 40 + -12 = 28 28 + 16x + -12x = 2(5x + -10) Combine like terms: 16x + -12x = 4x 28 + 4x = 2(5x + -10) Reorder the terms: 28 + 4x = 2(-10 + 5x) 28 + 4x = (-10 * 2 + 5x * 2) 28 + 4x = (-20 + 10x) Solving 28 + 4x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 28 + 4x + -10x = -20 + 10x + -10x Combine like terms: 4x + -10x = -6x 28 + -6x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 28 + -6x = -20 + 0 28 + -6x = -20 Add '-28' to each side of the equation. 28 + -28 + -6x = -20 + -28 Combine like terms: 28 + -28 = 0 0 + -6x = -20 + -28 -6x = -20 + -28 Combine like terms: -20 + -28 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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