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Simplifying -4(x + -3) = 6(x + -5) Reorder the terms: -4(-3 + x) = 6(x + -5) (-3 * -4 + x * -4) = 6(x + -5) (12 + -4x) = 6(x + -5) Reorder the terms: 12 + -4x = 6(-5 + x) 12 + -4x = (-5 * 6 + x * 6) 12 + -4x = (-30 + 6x) Solving 12 + -4x = -30 + 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. 12 + -4x + -6x = -30 + 6x + -6x Combine like terms: -4x + -6x = -10x 12 + -10x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -10x = -30 + 0 12 + -10x = -30 Add '-12' to each side of the equation. 12 + -12 + -10x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -10x = -30 + -12 -10x = -30 + -12 Combine like terms: -30 + -12 = -42 -10x = -42 Divide each side by '-10'. x = 4.2 Simplifying x = 4.2
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