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Simplifying -8(x + -5) + 7x = 12 + 3x Reorder the terms: -8(-5 + x) + 7x = 12 + 3x (-5 * -8 + x * -8) + 7x = 12 + 3x (40 + -8x) + 7x = 12 + 3x Combine like terms: -8x + 7x = -1x 40 + -1x = 12 + 3x Solving 40 + -1x = 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. 40 + -1x + -3x = 12 + 3x + -3x Combine like terms: -1x + -3x = -4x 40 + -4x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 40 + -4x = 12 + 0 40 + -4x = 12 Add '-40' to each side of the equation. 40 + -40 + -4x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + -4x = 12 + -40 -4x = 12 + -40 Combine like terms: 12 + -40 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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