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Simplifying 3 + -8(x + 7) = -3(x + -4) Reorder the terms: 3 + -8(7 + x) = -3(x + -4) 3 + (7 * -8 + x * -8) = -3(x + -4) 3 + (-56 + -8x) = -3(x + -4) Combine like terms: 3 + -56 = -53 -53 + -8x = -3(x + -4) Reorder the terms: -53 + -8x = -3(-4 + x) -53 + -8x = (-4 * -3 + x * -3) -53 + -8x = (12 + -3x) Solving -53 + -8x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -53 + -8x + 3x = 12 + -3x + 3x Combine like terms: -8x + 3x = -5x -53 + -5x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -53 + -5x = 12 + 0 -53 + -5x = 12 Add '53' to each side of the equation. -53 + 53 + -5x = 12 + 53 Combine like terms: -53 + 53 = 0 0 + -5x = 12 + 53 -5x = 12 + 53 Combine like terms: 12 + 53 = 65 -5x = 65 Divide each side by '-5'. x = -13 Simplifying x = -13
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