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Simplifying -7(x + -5) + -8(2x + -6) = -24(x + -3) + -4 Reorder the terms: -7(-5 + x) + -8(2x + -6) = -24(x + -3) + -4 (-5 * -7 + x * -7) + -8(2x + -6) = -24(x + -3) + -4 (35 + -7x) + -8(2x + -6) = -24(x + -3) + -4 Reorder the terms: 35 + -7x + -8(-6 + 2x) = -24(x + -3) + -4 35 + -7x + (-6 * -8 + 2x * -8) = -24(x + -3) + -4 35 + -7x + (48 + -16x) = -24(x + -3) + -4 Reorder the terms: 35 + 48 + -7x + -16x = -24(x + -3) + -4 Combine like terms: 35 + 48 = 83 83 + -7x + -16x = -24(x + -3) + -4 Combine like terms: -7x + -16x = -23x 83 + -23x = -24(x + -3) + -4 Reorder the terms: 83 + -23x = -24(-3 + x) + -4 83 + -23x = (-3 * -24 + x * -24) + -4 83 + -23x = (72 + -24x) + -4 Reorder the terms: 83 + -23x = 72 + -4 + -24x Combine like terms: 72 + -4 = 68 83 + -23x = 68 + -24x Solving 83 + -23x = 68 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 83 + -23x + 24x = 68 + -24x + 24x Combine like terms: -23x + 24x = 1x 83 + 1x = 68 + -24x + 24x Combine like terms: -24x + 24x = 0 83 + 1x = 68 + 0 83 + 1x = 68 Add '-83' to each side of the equation. 83 + -83 + 1x = 68 + -83 Combine like terms: 83 + -83 = 0 0 + 1x = 68 + -83 1x = 68 + -83 Combine like terms: 68 + -83 = -15 1x = -15 Divide each side by '1'. x = -15 Simplifying x = -15
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