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Simplifying 3(2x + -5) + -1x = 4 + -1(3x + 7) Reorder the terms: 3(-5 + 2x) + -1x = 4 + -1(3x + 7) (-5 * 3 + 2x * 3) + -1x = 4 + -1(3x + 7) (-15 + 6x) + -1x = 4 + -1(3x + 7) Combine like terms: 6x + -1x = 5x -15 + 5x = 4 + -1(3x + 7) Reorder the terms: -15 + 5x = 4 + -1(7 + 3x) -15 + 5x = 4 + (7 * -1 + 3x * -1) -15 + 5x = 4 + (-7 + -3x) Combine like terms: 4 + -7 = -3 -15 + 5x = -3 + -3x Solving -15 + 5x = -3 + -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. -15 + 5x + 3x = -3 + -3x + 3x Combine like terms: 5x + 3x = 8x -15 + 8x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -15 + 8x = -3 + 0 -15 + 8x = -3 Add '15' to each side of the equation. -15 + 15 + 8x = -3 + 15 Combine like terms: -15 + 15 = 0 0 + 8x = -3 + 15 8x = -3 + 15 Combine like terms: -3 + 15 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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