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Simplifying 3(x + 2) + -4x + 7 = 5(x + -2) + -1 Reorder the terms: 3(2 + x) + -4x + 7 = 5(x + -2) + -1 (2 * 3 + x * 3) + -4x + 7 = 5(x + -2) + -1 (6 + 3x) + -4x + 7 = 5(x + -2) + -1 Reorder the terms: 6 + 7 + 3x + -4x = 5(x + -2) + -1 Combine like terms: 6 + 7 = 13 13 + 3x + -4x = 5(x + -2) + -1 Combine like terms: 3x + -4x = -1x 13 + -1x = 5(x + -2) + -1 Reorder the terms: 13 + -1x = 5(-2 + x) + -1 13 + -1x = (-2 * 5 + x * 5) + -1 13 + -1x = (-10 + 5x) + -1 Reorder the terms: 13 + -1x = -10 + -1 + 5x Combine like terms: -10 + -1 = -11 13 + -1x = -11 + 5x Solving 13 + -1x = -11 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 13 + -1x + -5x = -11 + 5x + -5x Combine like terms: -1x + -5x = -6x 13 + -6x = -11 + 5x + -5x Combine like terms: 5x + -5x = 0 13 + -6x = -11 + 0 13 + -6x = -11 Add '-13' to each side of the equation. 13 + -13 + -6x = -11 + -13 Combine like terms: 13 + -13 = 0 0 + -6x = -11 + -13 -6x = -11 + -13 Combine like terms: -11 + -13 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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