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Simplifying -7x + 15 = 6(x + -4) Reorder the terms: 15 + -7x = 6(x + -4) Reorder the terms: 15 + -7x = 6(-4 + x) 15 + -7x = (-4 * 6 + x * 6) 15 + -7x = (-24 + 6x) Solving 15 + -7x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 15 + -7x + -6x = -24 + 6x + -6x Combine like terms: -7x + -6x = -13x 15 + -13x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -13x = -24 + 0 15 + -13x = -24 Add '-15' to each side of the equation. 15 + -15 + -13x = -24 + -15 Combine like terms: 15 + -15 = 0 0 + -13x = -24 + -15 -13x = -24 + -15 Combine like terms: -24 + -15 = -39 -13x = -39 Divide each side by '-13'. x = 3 Simplifying x = 3
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