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Simplifying 5(x + 1) + -6x = 3x + -9 Reorder the terms: 5(1 + x) + -6x = 3x + -9 (1 * 5 + x * 5) + -6x = 3x + -9 (5 + 5x) + -6x = 3x + -9 Combine like terms: 5x + -6x = -1x 5 + -1x = 3x + -9 Reorder the terms: 5 + -1x = -9 + 3x Solving 5 + -1x = -9 + 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. 5 + -1x + -3x = -9 + 3x + -3x Combine like terms: -1x + -3x = -4x 5 + -4x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -4x = -9 + 0 5 + -4x = -9 Add '-5' to each side of the equation. 5 + -5 + -4x = -9 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -9 + -5 -4x = -9 + -5 Combine like terms: -9 + -5 = -14 -4x = -14 Divide each side by '-4'. x = 3.5 Simplifying x = 3.5
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