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Simplifying 4x + 24 = 6(x + -3) + -3(4 + -3x) Reorder the terms: 24 + 4x = 6(x + -3) + -3(4 + -3x) Reorder the terms: 24 + 4x = 6(-3 + x) + -3(4 + -3x) 24 + 4x = (-3 * 6 + x * 6) + -3(4 + -3x) 24 + 4x = (-18 + 6x) + -3(4 + -3x) 24 + 4x = -18 + 6x + (4 * -3 + -3x * -3) 24 + 4x = -18 + 6x + (-12 + 9x) Reorder the terms: 24 + 4x = -18 + -12 + 6x + 9x Combine like terms: -18 + -12 = -30 24 + 4x = -30 + 6x + 9x Combine like terms: 6x + 9x = 15x 24 + 4x = -30 + 15x Solving 24 + 4x = -30 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24 + 4x + -15x = -30 + 15x + -15x Combine like terms: 4x + -15x = -11x 24 + -11x = -30 + 15x + -15x Combine like terms: 15x + -15x = 0 24 + -11x = -30 + 0 24 + -11x = -30 Add '-24' to each side of the equation. 24 + -24 + -11x = -30 + -24 Combine like terms: 24 + -24 = 0 0 + -11x = -30 + -24 -11x = -30 + -24 Combine like terms: -30 + -24 = -54 -11x = -54 Divide each side by '-11'. x = 4.909090909 Simplifying x = 4.909090909
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