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Simplifying 6(x + -2) + 3 = 3x + -15 Reorder the terms: 6(-2 + x) + 3 = 3x + -15 (-2 * 6 + x * 6) + 3 = 3x + -15 (-12 + 6x) + 3 = 3x + -15 Reorder the terms: -12 + 3 + 6x = 3x + -15 Combine like terms: -12 + 3 = -9 -9 + 6x = 3x + -15 Reorder the terms: -9 + 6x = -15 + 3x Solving -9 + 6x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 6x + -3x = -15 + 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = -15 + 0 -9 + 3x = -15 Add '9' to each side of the equation. -9 + 9 + 3x = -15 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = -15 + 9 3x = -15 + 9 Combine like terms: -15 + 9 = -6 3x = -6 Divide each side by '3'. x = -2 Simplifying x = -2
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