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Simplifying 6(x + -3) = 4(4x + 3) Reorder the terms: 6(-3 + x) = 4(4x + 3) (-3 * 6 + x * 6) = 4(4x + 3) (-18 + 6x) = 4(4x + 3) Reorder the terms: -18 + 6x = 4(3 + 4x) -18 + 6x = (3 * 4 + 4x * 4) -18 + 6x = (12 + 16x) Solving -18 + 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. -18 + 6x + -16x = 12 + 16x + -16x Combine like terms: 6x + -16x = -10x -18 + -10x = 12 + 16x + -16x Combine like terms: 16x + -16x = 0 -18 + -10x = 12 + 0 -18 + -10x = 12 Add '18' to each side of the equation. -18 + 18 + -10x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -10x = 12 + 18 -10x = 12 + 18 Combine like terms: 12 + 18 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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