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Simplifying 4(x + -2) + -7x = 2x + -3(x + 2) Reorder the terms: 4(-2 + x) + -7x = 2x + -3(x + 2) (-2 * 4 + x * 4) + -7x = 2x + -3(x + 2) (-8 + 4x) + -7x = 2x + -3(x + 2) Combine like terms: 4x + -7x = -3x -8 + -3x = 2x + -3(x + 2) Reorder the terms: -8 + -3x = 2x + -3(2 + x) -8 + -3x = 2x + (2 * -3 + x * -3) -8 + -3x = 2x + (-6 + -3x) Reorder the terms: -8 + -3x = -6 + 2x + -3x Combine like terms: 2x + -3x = -1x -8 + -3x = -6 + -1x Solving -8 + -3x = -6 + -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 = -6 + -1x + x Combine like terms: -3x + x = -2x -8 + -2x = -6 + -1x + x Combine like terms: -1x + x = 0 -8 + -2x = -6 + 0 -8 + -2x = -6 Add '8' to each side of the equation. -8 + 8 + -2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -6 + 8 -2x = -6 + 8 Combine like terms: -6 + 8 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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