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Simplifying 4(2x + -3) + 5x = 9(x + -2) + 8 Reorder the terms: 4(-3 + 2x) + 5x = 9(x + -2) + 8 (-3 * 4 + 2x * 4) + 5x = 9(x + -2) + 8 (-12 + 8x) + 5x = 9(x + -2) + 8 Combine like terms: 8x + 5x = 13x -12 + 13x = 9(x + -2) + 8 Reorder the terms: -12 + 13x = 9(-2 + x) + 8 -12 + 13x = (-2 * 9 + x * 9) + 8 -12 + 13x = (-18 + 9x) + 8 Reorder the terms: -12 + 13x = -18 + 8 + 9x Combine like terms: -18 + 8 = -10 -12 + 13x = -10 + 9x Solving -12 + 13x = -10 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -12 + 13x + -9x = -10 + 9x + -9x Combine like terms: 13x + -9x = 4x -12 + 4x = -10 + 9x + -9x Combine like terms: 9x + -9x = 0 -12 + 4x = -10 + 0 -12 + 4x = -10 Add '12' to each side of the equation. -12 + 12 + 4x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = -10 + 12 4x = -10 + 12 Combine like terms: -10 + 12 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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