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Simplifying 3(2x + -4) = 4(4x + 3) Reorder the terms: 3(-4 + 2x) = 4(4x + 3) (-4 * 3 + 2x * 3) = 4(4x + 3) (-12 + 6x) = 4(4x + 3) Reorder the terms: -12 + 6x = 4(3 + 4x) -12 + 6x = (3 * 4 + 4x * 4) -12 + 6x = (12 + 16x) Solving -12 + 6x = 12 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -12 + 6x + -16x = 12 + 16x + -16x Combine like terms: 6x + -16x = -10x -12 + -10x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -12 + -10x = 12 + 0 -12 + -10x = 12 Add '12' to each side of the equation. -12 + 12 + -10x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -10x = 12 + 12 -10x = 12 + 12 Combine like terms: 12 + 12 = 24 -10x = 24 Divide each side by '-10'. x = -2.4 Simplifying x = -2.4
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