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Simplifying 4x + -3(2x + 1) = -9x + 5(2x + -1) Reorder the terms: 4x + -3(1 + 2x) = -9x + 5(2x + -1) 4x + (1 * -3 + 2x * -3) = -9x + 5(2x + -1) 4x + (-3 + -6x) = -9x + 5(2x + -1) Reorder the terms: -3 + 4x + -6x = -9x + 5(2x + -1) Combine like terms: 4x + -6x = -2x -3 + -2x = -9x + 5(2x + -1) Reorder the terms: -3 + -2x = -9x + 5(-1 + 2x) -3 + -2x = -9x + (-1 * 5 + 2x * 5) -3 + -2x = -9x + (-5 + 10x) Reorder the terms: -3 + -2x = -5 + -9x + 10x Combine like terms: -9x + 10x = 1x -3 + -2x = -5 + 1x Solving -3 + -2x = -5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + -2x + -1x = -5 + 1x + -1x Combine like terms: -2x + -1x = -3x -3 + -3x = -5 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + -3x = -5 + 0 -3 + -3x = -5 Add '3' to each side of the equation. -3 + 3 + -3x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -3x = -5 + 3 -3x = -5 + 3 Combine like terms: -5 + 3 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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