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Simplifying 6(2x + -11) + 15 = 13x + 12 Reorder the terms: 6(-11 + 2x) + 15 = 13x + 12 (-11 * 6 + 2x * 6) + 15 = 13x + 12 (-66 + 12x) + 15 = 13x + 12 Reorder the terms: -66 + 15 + 12x = 13x + 12 Combine like terms: -66 + 15 = -51 -51 + 12x = 13x + 12 Reorder the terms: -51 + 12x = 12 + 13x Solving -51 + 12x = 12 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -51 + 12x + -13x = 12 + 13x + -13x Combine like terms: 12x + -13x = -1x -51 + -1x = 12 + 13x + -13x Combine like terms: 13x + -13x = 0 -51 + -1x = 12 + 0 -51 + -1x = 12 Add '51' to each side of the equation. -51 + 51 + -1x = 12 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = 12 + 51 -1x = 12 + 51 Combine like terms: 12 + 51 = 63 -1x = 63 Divide each side by '-1'. x = -63 Simplifying x = -63
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