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Simplifying 3(2x + -5) + 3x = 4(x + -1) + 5(2x + 3) Reorder the terms: 3(-5 + 2x) + 3x = 4(x + -1) + 5(2x + 3) (-5 * 3 + 2x * 3) + 3x = 4(x + -1) + 5(2x + 3) (-15 + 6x) + 3x = 4(x + -1) + 5(2x + 3) Combine like terms: 6x + 3x = 9x -15 + 9x = 4(x + -1) + 5(2x + 3) Reorder the terms: -15 + 9x = 4(-1 + x) + 5(2x + 3) -15 + 9x = (-1 * 4 + x * 4) + 5(2x + 3) -15 + 9x = (-4 + 4x) + 5(2x + 3) Reorder the terms: -15 + 9x = -4 + 4x + 5(3 + 2x) -15 + 9x = -4 + 4x + (3 * 5 + 2x * 5) -15 + 9x = -4 + 4x + (15 + 10x) Reorder the terms: -15 + 9x = -4 + 15 + 4x + 10x Combine like terms: -4 + 15 = 11 -15 + 9x = 11 + 4x + 10x Combine like terms: 4x + 10x = 14x -15 + 9x = 11 + 14x Solving -15 + 9x = 11 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -15 + 9x + -14x = 11 + 14x + -14x Combine like terms: 9x + -14x = -5x -15 + -5x = 11 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -5x = 11 + 0 -15 + -5x = 11 Add '15' to each side of the equation. -15 + 15 + -5x = 11 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 11 + 15 -5x = 11 + 15 Combine like terms: 11 + 15 = 26 -5x = 26 Divide each side by '-5'. x = -5.2 Simplifying x = -5.2
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