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Simplifying 7 + 4(2 + -1x) + -2x = 8 + x 7 + (2 * 4 + -1x * 4) + -2x = 8 + x 7 + (8 + -4x) + -2x = 8 + x Combine like terms: 7 + 8 = 15 15 + -4x + -2x = 8 + x Combine like terms: -4x + -2x = -6x 15 + -6x = 8 + x Solving 15 + -6x = 8 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 15 + -6x + -1x = 8 + x + -1x Combine like terms: -6x + -1x = -7x 15 + -7x = 8 + x + -1x Combine like terms: x + -1x = 0 15 + -7x = 8 + 0 15 + -7x = 8 Add '-15' to each side of the equation. 15 + -15 + -7x = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -7x = 8 + -15 -7x = 8 + -15 Combine like terms: 8 + -15 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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