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Simplifying 3x + -15 = 5(x + -7) + 4 Reorder the terms: -15 + 3x = 5(x + -7) + 4 Reorder the terms: -15 + 3x = 5(-7 + x) + 4 -15 + 3x = (-7 * 5 + x * 5) + 4 -15 + 3x = (-35 + 5x) + 4 Reorder the terms: -15 + 3x = -35 + 4 + 5x Combine like terms: -35 + 4 = -31 -15 + 3x = -31 + 5x Solving -15 + 3x = -31 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 3x + -5x = -31 + 5x + -5x Combine like terms: 3x + -5x = -2x -15 + -2x = -31 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -2x = -31 + 0 -15 + -2x = -31 Add '15' to each side of the equation. -15 + 15 + -2x = -31 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -31 + 15 -2x = -31 + 15 Combine like terms: -31 + 15 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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