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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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