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Simplifying 4x + -3 = (x + -2) + 2(x + -3) Reorder the terms: -3 + 4x = (x + -2) + 2(x + -3) Reorder the terms: -3 + 4x = (-2 + x) + 2(x + -3) Remove parenthesis around (-2 + x) -3 + 4x = -2 + x + 2(x + -3) Reorder the terms: -3 + 4x = -2 + x + 2(-3 + x) -3 + 4x = -2 + x + (-3 * 2 + x * 2) -3 + 4x = -2 + x + (-6 + 2x) Reorder the terms: -3 + 4x = -2 + -6 + x + 2x Combine like terms: -2 + -6 = -8 -3 + 4x = -8 + x + 2x Combine like terms: x + 2x = 3x -3 + 4x = -8 + 3x Solving -3 + 4x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -3 + 4x + -3x = -8 + 3x + -3x Combine like terms: 4x + -3x = 1x -3 + 1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 1x = -8 + 0 -3 + 1x = -8 Add '3' to each side of the equation. -3 + 3 + 1x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 1x = -8 + 3 1x = -8 + 3 Combine like terms: -8 + 3 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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