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Simplifying -3(x + -7) + -5(8x + 3) = x + 6 + -2x Reorder the terms: -3(-7 + x) + -5(8x + 3) = x + 6 + -2x (-7 * -3 + x * -3) + -5(8x + 3) = x + 6 + -2x (21 + -3x) + -5(8x + 3) = x + 6 + -2x Reorder the terms: 21 + -3x + -5(3 + 8x) = x + 6 + -2x 21 + -3x + (3 * -5 + 8x * -5) = x + 6 + -2x 21 + -3x + (-15 + -40x) = x + 6 + -2x Reorder the terms: 21 + -15 + -3x + -40x = x + 6 + -2x Combine like terms: 21 + -15 = 6 6 + -3x + -40x = x + 6 + -2x Combine like terms: -3x + -40x = -43x 6 + -43x = x + 6 + -2x Reorder the terms: 6 + -43x = 6 + x + -2x Combine like terms: x + -2x = -1x 6 + -43x = 6 + -1x Add '-6' to each side of the equation. 6 + -6 + -43x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 0 + -43x = 6 + -6 + -1x -43x = 6 + -6 + -1x Combine like terms: 6 + -6 = 0 -43x = 0 + -1x -43x = -1x Solving -43x = -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -43x + x = -1x + x Combine like terms: -43x + x = -42x -42x = -1x + x Combine like terms: -1x + x = 0 -42x = 0 Divide each side by '-42'. x = 0 Simplifying x = 0
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