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Simplifying 5(x + 8) + 7(9 + -4x) = -24(x + -5) + -3 Reorder the terms: 5(8 + x) + 7(9 + -4x) = -24(x + -5) + -3 (8 * 5 + x * 5) + 7(9 + -4x) = -24(x + -5) + -3 (40 + 5x) + 7(9 + -4x) = -24(x + -5) + -3 40 + 5x + (9 * 7 + -4x * 7) = -24(x + -5) + -3 40 + 5x + (63 + -28x) = -24(x + -5) + -3 Reorder the terms: 40 + 63 + 5x + -28x = -24(x + -5) + -3 Combine like terms: 40 + 63 = 103 103 + 5x + -28x = -24(x + -5) + -3 Combine like terms: 5x + -28x = -23x 103 + -23x = -24(x + -5) + -3 Reorder the terms: 103 + -23x = -24(-5 + x) + -3 103 + -23x = (-5 * -24 + x * -24) + -3 103 + -23x = (120 + -24x) + -3 Reorder the terms: 103 + -23x = 120 + -3 + -24x Combine like terms: 120 + -3 = 117 103 + -23x = 117 + -24x Solving 103 + -23x = 117 + -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. 103 + -23x + 24x = 117 + -24x + 24x Combine like terms: -23x + 24x = 1x 103 + 1x = 117 + -24x + 24x Combine like terms: -24x + 24x = 0 103 + 1x = 117 + 0 103 + 1x = 117 Add '-103' to each side of the equation. 103 + -103 + 1x = 117 + -103 Combine like terms: 103 + -103 = 0 0 + 1x = 117 + -103 1x = 117 + -103 Combine like terms: 117 + -103 = 14 1x = 14 Divide each side by '1'. x = 14 Simplifying x = 14
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