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Simplifying -2(3x + -5) + 8 = 4(x + -3) Reorder the terms: -2(-5 + 3x) + 8 = 4(x + -3) (-5 * -2 + 3x * -2) + 8 = 4(x + -3) (10 + -6x) + 8 = 4(x + -3) Reorder the terms: 10 + 8 + -6x = 4(x + -3) Combine like terms: 10 + 8 = 18 18 + -6x = 4(x + -3) Reorder the terms: 18 + -6x = 4(-3 + x) 18 + -6x = (-3 * 4 + x * 4) 18 + -6x = (-12 + 4x) Solving 18 + -6x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 18 + -6x + -4x = -12 + 4x + -4x Combine like terms: -6x + -4x = -10x 18 + -10x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 18 + -10x = -12 + 0 18 + -10x = -12 Add '-18' to each side of the equation. 18 + -18 + -10x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -10x = -12 + -18 -10x = -12 + -18 Combine like terms: -12 + -18 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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