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Simplifying -5(x + -12) + -3(x + 1) = 1 + -10x + 6x Reorder the terms: -5(-12 + x) + -3(x + 1) = 1 + -10x + 6x (-12 * -5 + x * -5) + -3(x + 1) = 1 + -10x + 6x (60 + -5x) + -3(x + 1) = 1 + -10x + 6x Reorder the terms: 60 + -5x + -3(1 + x) = 1 + -10x + 6x 60 + -5x + (1 * -3 + x * -3) = 1 + -10x + 6x 60 + -5x + (-3 + -3x) = 1 + -10x + 6x Reorder the terms: 60 + -3 + -5x + -3x = 1 + -10x + 6x Combine like terms: 60 + -3 = 57 57 + -5x + -3x = 1 + -10x + 6x Combine like terms: -5x + -3x = -8x 57 + -8x = 1 + -10x + 6x Combine like terms: -10x + 6x = -4x 57 + -8x = 1 + -4x Solving 57 + -8x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 57 + -8x + 4x = 1 + -4x + 4x Combine like terms: -8x + 4x = -4x 57 + -4x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 57 + -4x = 1 + 0 57 + -4x = 1 Add '-57' to each side of the equation. 57 + -57 + -4x = 1 + -57 Combine like terms: 57 + -57 = 0 0 + -4x = 1 + -57 -4x = 1 + -57 Combine like terms: 1 + -57 = -56 -4x = -56 Divide each side by '-4'. x = 14 Simplifying x = 14
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