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Simplifying 4(x + -2) = 2 + 3(2x + -3) Reorder the terms: 4(-2 + x) = 2 + 3(2x + -3) (-2 * 4 + x * 4) = 2 + 3(2x + -3) (-8 + 4x) = 2 + 3(2x + -3) Reorder the terms: -8 + 4x = 2 + 3(-3 + 2x) -8 + 4x = 2 + (-3 * 3 + 2x * 3) -8 + 4x = 2 + (-9 + 6x) Combine like terms: 2 + -9 = -7 -8 + 4x = -7 + 6x Solving -8 + 4x = -7 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 4x + -6x = -7 + 6x + -6x Combine like terms: 4x + -6x = -2x -8 + -2x = -7 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -2x = -7 + 0 -8 + -2x = -7 Add '8' to each side of the equation. -8 + 8 + -2x = -7 + 8 Combine like terms: -8 + 8 = 0 0 + -2x = -7 + 8 -2x = -7 + 8 Combine like terms: -7 + 8 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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