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Simplifying 7x + -15 = 3x + 5(x + -6) Reorder the terms: -15 + 7x = 3x + 5(x + -6) Reorder the terms: -15 + 7x = 3x + 5(-6 + x) -15 + 7x = 3x + (-6 * 5 + x * 5) -15 + 7x = 3x + (-30 + 5x) Reorder the terms: -15 + 7x = -30 + 3x + 5x Combine like terms: 3x + 5x = 8x -15 + 7x = -30 + 8x Solving -15 + 7x = -30 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -15 + 7x + -8x = -30 + 8x + -8x Combine like terms: 7x + -8x = -1x -15 + -1x = -30 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + -1x = -30 + 0 -15 + -1x = -30 Add '15' to each side of the equation. -15 + 15 + -1x = -30 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = -30 + 15 -1x = -30 + 15 Combine like terms: -30 + 15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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