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Simplifying 4(x + -2) = 7(1 + 2x) Reorder the terms: 4(-2 + x) = 7(1 + 2x) (-2 * 4 + x * 4) = 7(1 + 2x) (-8 + 4x) = 7(1 + 2x) -8 + 4x = (1 * 7 + 2x * 7) -8 + 4x = (7 + 14x) Solving -8 + 4x = 7 + 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. -8 + 4x + -14x = 7 + 14x + -14x Combine like terms: 4x + -14x = -10x -8 + -10x = 7 + 14x + -14x Combine like terms: 14x + -14x = 0 -8 + -10x = 7 + 0 -8 + -10x = 7 Add '8' to each side of the equation. -8 + 8 + -10x = 7 + 8 Combine like terms: -8 + 8 = 0 0 + -10x = 7 + 8 -10x = 7 + 8 Combine like terms: 7 + 8 = 15 -10x = 15 Divide each side by '-10'. x = -1.5 Simplifying x = -1.5
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