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Simplifying 6x + 15 = 5 + -2(x + -4) Reorder the terms: 15 + 6x = 5 + -2(x + -4) Reorder the terms: 15 + 6x = 5 + -2(-4 + x) 15 + 6x = 5 + (-4 * -2 + x * -2) 15 + 6x = 5 + (8 + -2x) Combine like terms: 5 + 8 = 13 15 + 6x = 13 + -2x Solving 15 + 6x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 15 + 6x + 2x = 13 + -2x + 2x Combine like terms: 6x + 2x = 8x 15 + 8x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 15 + 8x = 13 + 0 15 + 8x = 13 Add '-15' to each side of the equation. 15 + -15 + 8x = 13 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = 13 + -15 8x = 13 + -15 Combine like terms: 13 + -15 = -2 8x = -2 Divide each side by '8'. x = -0.25 Simplifying x = -0.25
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