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Simplifying x + -63 = 6(2x + 3) + -15 Reorder the terms: -63 + x = 6(2x + 3) + -15 Reorder the terms: -63 + x = 6(3 + 2x) + -15 -63 + x = (3 * 6 + 2x * 6) + -15 -63 + x = (18 + 12x) + -15 Reorder the terms: -63 + x = 18 + -15 + 12x Combine like terms: 18 + -15 = 3 -63 + x = 3 + 12x Solving -63 + x = 3 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -63 + x + -12x = 3 + 12x + -12x Combine like terms: x + -12x = -11x -63 + -11x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -63 + -11x = 3 + 0 -63 + -11x = 3 Add '63' to each side of the equation. -63 + 63 + -11x = 3 + 63 Combine like terms: -63 + 63 = 0 0 + -11x = 3 + 63 -11x = 3 + 63 Combine like terms: 3 + 63 = 66 -11x = 66 Divide each side by '-11'. x = -6 Simplifying x = -6
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