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Simplifying -2(9x + -4) + 5x = 2(x + 1) Reorder the terms: -2(-4 + 9x) + 5x = 2(x + 1) (-4 * -2 + 9x * -2) + 5x = 2(x + 1) (8 + -18x) + 5x = 2(x + 1) Combine like terms: -18x + 5x = -13x 8 + -13x = 2(x + 1) Reorder the terms: 8 + -13x = 2(1 + x) 8 + -13x = (1 * 2 + x * 2) 8 + -13x = (2 + 2x) Solving 8 + -13x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + -13x + -2x = 2 + 2x + -2x Combine like terms: -13x + -2x = -15x 8 + -15x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -15x = 2 + 0 8 + -15x = 2 Add '-8' to each side of the equation. 8 + -8 + -15x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -15x = 2 + -8 -15x = 2 + -8 Combine like terms: 2 + -8 = -6 -15x = -6 Divide each side by '-15'. x = 0.4 Simplifying x = 0.4
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