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Simplifying 4(x + -5) + -3(2x + 9) = 1.5(2x + -9) Reorder the terms: 4(-5 + x) + -3(2x + 9) = 1.5(2x + -9) (-5 * 4 + x * 4) + -3(2x + 9) = 1.5(2x + -9) (-20 + 4x) + -3(2x + 9) = 1.5(2x + -9) Reorder the terms: -20 + 4x + -3(9 + 2x) = 1.5(2x + -9) -20 + 4x + (9 * -3 + 2x * -3) = 1.5(2x + -9) -20 + 4x + (-27 + -6x) = 1.5(2x + -9) Reorder the terms: -20 + -27 + 4x + -6x = 1.5(2x + -9) Combine like terms: -20 + -27 = -47 -47 + 4x + -6x = 1.5(2x + -9) Combine like terms: 4x + -6x = -2x -47 + -2x = 1.5(2x + -9) Reorder the terms: -47 + -2x = 1.5(-9 + 2x) -47 + -2x = (-9 * 1.5 + 2x * 1.5) -47 + -2x = (-13.5 + 3x) Solving -47 + -2x = -13.5 + 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. -47 + -2x + -3x = -13.5 + 3x + -3x Combine like terms: -2x + -3x = -5x -47 + -5x = -13.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -47 + -5x = -13.5 + 0 -47 + -5x = -13.5 Add '47' to each side of the equation. -47 + 47 + -5x = -13.5 + 47 Combine like terms: -47 + 47 = 0 0 + -5x = -13.5 + 47 -5x = -13.5 + 47 Combine like terms: -13.5 + 47 = 33.5 -5x = 33.5 Divide each side by '-5'. x = -6.7 Simplifying x = -6.7
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