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Simplifying -3(5 + x) + 10 = 4(-2 + x) + -1x (5 * -3 + x * -3) + 10 = 4(-2 + x) + -1x (-15 + -3x) + 10 = 4(-2 + x) + -1x Reorder the terms: -15 + 10 + -3x = 4(-2 + x) + -1x Combine like terms: -15 + 10 = -5 -5 + -3x = 4(-2 + x) + -1x -5 + -3x = (-2 * 4 + x * 4) + -1x -5 + -3x = (-8 + 4x) + -1x Combine like terms: 4x + -1x = 3x -5 + -3x = -8 + 3x Solving -5 + -3x = -8 + 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. -5 + -3x + -3x = -8 + 3x + -3x Combine like terms: -3x + -3x = -6x -5 + -6x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + -6x = -8 + 0 -5 + -6x = -8 Add '5' to each side of the equation. -5 + 5 + -6x = -8 + 5 Combine like terms: -5 + 5 = 0 0 + -6x = -8 + 5 -6x = -8 + 5 Combine like terms: -8 + 5 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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