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Simplifying 7 = 3x + -4 + -1(x + -2) Reorder the terms: 7 = 3x + -4 + -1(-2 + x) 7 = 3x + -4 + (-2 * -1 + x * -1) 7 = 3x + -4 + (2 + -1x) Reorder the terms: 7 = -4 + 2 + 3x + -1x Combine like terms: -4 + 2 = -2 7 = -2 + 3x + -1x Combine like terms: 3x + -1x = 2x 7 = -2 + 2x Solving 7 = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 7 + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -2x = -2 + 0 7 + -2x = -2 Add '-7' to each side of the equation. 7 + -7 + -2x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = -2 + -7 -2x = -2 + -7 Combine like terms: -2 + -7 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5
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