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Simplifying -3x + 4x = 6(x + -8) + -7(6 + x) Combine like terms: -3x + 4x = 1x 1x = 6(x + -8) + -7(6 + x) Reorder the terms: 1x = 6(-8 + x) + -7(6 + x) 1x = (-8 * 6 + x * 6) + -7(6 + x) 1x = (-48 + 6x) + -7(6 + x) 1x = -48 + 6x + (6 * -7 + x * -7) 1x = -48 + 6x + (-42 + -7x) Reorder the terms: 1x = -48 + -42 + 6x + -7x Combine like terms: -48 + -42 = -90 1x = -90 + 6x + -7x Combine like terms: 6x + -7x = -1x 1x = -90 + -1x Solving 1x = -90 + -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. 1x + x = -90 + -1x + x Combine like terms: 1x + x = 2x 2x = -90 + -1x + x Combine like terms: -1x + x = 0 2x = -90 + 0 2x = -90 Divide each side by '2'. x = -45 Simplifying x = -45
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