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Simplifying x + -76 = 7(2x + 3) + -6 Reorder the terms: -76 + x = 7(2x + 3) + -6 Reorder the terms: -76 + x = 7(3 + 2x) + -6 -76 + x = (3 * 7 + 2x * 7) + -6 -76 + x = (21 + 14x) + -6 Reorder the terms: -76 + x = 21 + -6 + 14x Combine like terms: 21 + -6 = 15 -76 + x = 15 + 14x Solving -76 + x = 15 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -76 + x + -14x = 15 + 14x + -14x Combine like terms: x + -14x = -13x -76 + -13x = 15 + 14x + -14x Combine like terms: 14x + -14x = 0 -76 + -13x = 15 + 0 -76 + -13x = 15 Add '76' to each side of the equation. -76 + 76 + -13x = 15 + 76 Combine like terms: -76 + 76 = 0 0 + -13x = 15 + 76 -13x = 15 + 76 Combine like terms: 15 + 76 = 91 -13x = 91 Divide each side by '-13'. x = -7 Simplifying x = -7
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