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Simplifying x(4 + -3) + -8 + 2x = x + -2(x + 1) Combine like terms: 4 + -3 = 1 x(1) + -8 + 2x = x + -2(x + 1) Reorder the terms for easier multiplication: 1x + -8 + 2x = x + -2(x + 1) Reorder the terms: -8 + 1x + 2x = x + -2(x + 1) Combine like terms: 1x + 2x = 3x -8 + 3x = x + -2(x + 1) Reorder the terms: -8 + 3x = x + -2(1 + x) -8 + 3x = x + (1 * -2 + x * -2) -8 + 3x = x + (-2 + -2x) Reorder the terms: -8 + 3x = -2 + x + -2x Combine like terms: x + -2x = -1x -8 + 3x = -2 + -1x Solving -8 + 3x = -2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -8 + 3x + x = -2 + -1x + x Combine like terms: 3x + x = 4x -8 + 4x = -2 + -1x + x Combine like terms: -1x + x = 0 -8 + 4x = -2 + 0 -8 + 4x = -2 Add '8' to each side of the equation. -8 + 8 + 4x = -2 + 8 Combine like terms: -8 + 8 = 0 0 + 4x = -2 + 8 4x = -2 + 8 Combine like terms: -2 + 8 = 6 4x = 6 Divide each side by '4'. x = 1.5 Simplifying x = 1.5
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