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Simplifying 4(x + -3) = 5(2x + 4) Reorder the terms: 4(-3 + x) = 5(2x + 4) (-3 * 4 + x * 4) = 5(2x + 4) (-12 + 4x) = 5(2x + 4) Reorder the terms: -12 + 4x = 5(4 + 2x) -12 + 4x = (4 * 5 + 2x * 5) -12 + 4x = (20 + 10x) Solving -12 + 4x = 20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -12 + 4x + -10x = 20 + 10x + -10x Combine like terms: 4x + -10x = -6x -12 + -6x = 20 + 10x + -10x Combine like terms: 10x + -10x = 0 -12 + -6x = 20 + 0 -12 + -6x = 20 Add '12' to each side of the equation. -12 + 12 + -6x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 20 + 12 -6x = 20 + 12 Combine like terms: 20 + 12 = 32 -6x = 32 Divide each side by '-6'. x = -5.333333333 Simplifying x = -5.333333333
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