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Simplifying 15 + -6(2x + 3) = 4x + -8x + -7 Reorder the terms: 15 + -6(3 + 2x) = 4x + -8x + -7 15 + (3 * -6 + 2x * -6) = 4x + -8x + -7 15 + (-18 + -12x) = 4x + -8x + -7 Combine like terms: 15 + -18 = -3 -3 + -12x = 4x + -8x + -7 Reorder the terms: -3 + -12x = -7 + 4x + -8x Combine like terms: 4x + -8x = -4x -3 + -12x = -7 + -4x Solving -3 + -12x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -3 + -12x + 4x = -7 + -4x + 4x Combine like terms: -12x + 4x = -8x -3 + -8x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 -3 + -8x = -7 + 0 -3 + -8x = -7 Add '3' to each side of the equation. -3 + 3 + -8x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -7 + 3 -8x = -7 + 3 Combine like terms: -7 + 3 = -4 -8x = -4 Divide each side by '-8'. x = 0.5 Simplifying x = 0.5
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