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Simplifying 2(3x + -2) = 4(4x + 3) Reorder the terms: 2(-2 + 3x) = 4(4x + 3) (-2 * 2 + 3x * 2) = 4(4x + 3) (-4 + 6x) = 4(4x + 3) Reorder the terms: -4 + 6x = 4(3 + 4x) -4 + 6x = (3 * 4 + 4x * 4) -4 + 6x = (12 + 16x) Solving -4 + 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. -4 + 6x + -16x = 12 + 16x + -16x Combine like terms: 6x + -16x = -10x -4 + -10x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -4 + -10x = 12 + 0 -4 + -10x = 12 Add '4' to each side of the equation. -4 + 4 + -10x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -10x = 12 + 4 -10x = 12 + 4 Combine like terms: 12 + 4 = 16 -10x = 16 Divide each side by '-10'. x = -1.6 Simplifying x = -1.6
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