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Simplifying 4(x + 6) = 6(x + -2) + 3x + -4 Reorder the terms: 4(6 + x) = 6(x + -2) + 3x + -4 (6 * 4 + x * 4) = 6(x + -2) + 3x + -4 (24 + 4x) = 6(x + -2) + 3x + -4 Reorder the terms: 24 + 4x = 6(-2 + x) + 3x + -4 24 + 4x = (-2 * 6 + x * 6) + 3x + -4 24 + 4x = (-12 + 6x) + 3x + -4 Reorder the terms: 24 + 4x = -12 + -4 + 6x + 3x Combine like terms: -12 + -4 = -16 24 + 4x = -16 + 6x + 3x Combine like terms: 6x + 3x = 9x 24 + 4x = -16 + 9x Solving 24 + 4x = -16 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 24 + 4x + -9x = -16 + 9x + -9x Combine like terms: 4x + -9x = -5x 24 + -5x = -16 + 9x + -9x Combine like terms: 9x + -9x = 0 24 + -5x = -16 + 0 24 + -5x = -16 Add '-24' to each side of the equation. 24 + -24 + -5x = -16 + -24 Combine like terms: 24 + -24 = 0 0 + -5x = -16 + -24 -5x = -16 + -24 Combine like terms: -16 + -24 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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