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Simplifying 4(x + -3) = 6(2x + 1) Reorder the terms: 4(-3 + x) = 6(2x + 1) (-3 * 4 + x * 4) = 6(2x + 1) (-12 + 4x) = 6(2x + 1) Reorder the terms: -12 + 4x = 6(1 + 2x) -12 + 4x = (1 * 6 + 2x * 6) -12 + 4x = (6 + 12x) Solving -12 + 4x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -12 + 4x + -12x = 6 + 12x + -12x Combine like terms: 4x + -12x = -8x -12 + -8x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 -12 + -8x = 6 + 0 -12 + -8x = 6 Add '12' to each side of the equation. -12 + 12 + -8x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -8x = 6 + 12 -8x = 6 + 12 Combine like terms: 6 + 12 = 18 -8x = 18 Divide each side by '-8'. x = -2.25 Simplifying x = -2.25
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