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Simplifying 7 = 3(x + -1) + 4(x + -1) Reorder the terms: 7 = 3(-1 + x) + 4(x + -1) 7 = (-1 * 3 + x * 3) + 4(x + -1) 7 = (-3 + 3x) + 4(x + -1) Reorder the terms: 7 = -3 + 3x + 4(-1 + x) 7 = -3 + 3x + (-1 * 4 + x * 4) 7 = -3 + 3x + (-4 + 4x) Reorder the terms: 7 = -3 + -4 + 3x + 4x Combine like terms: -3 + -4 = -7 7 = -7 + 3x + 4x Combine like terms: 3x + 4x = 7x 7 = -7 + 7x Solving 7 = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 7 + -7x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 7 + -7x = -7 + 0 7 + -7x = -7 Add '-7' to each side of the equation. 7 + -7 + -7x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -7 + -7 -7x = -7 + -7 Combine like terms: -7 + -7 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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