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Simplifying 6(x + 4) = -4x + 9 + -3(2x + -1x) Reorder the terms: 6(4 + x) = -4x + 9 + -3(2x + -1x) (4 * 6 + x * 6) = -4x + 9 + -3(2x + -1x) (24 + 6x) = -4x + 9 + -3(2x + -1x) Combine like terms: 2x + -1x = 1x 24 + 6x = -4x + 9 + -3(1x) Remove parenthesis around (1x) 24 + 6x = -4x + 9 + -3 * 1x Multiply -3 * 1 24 + 6x = -4x + 9 + -3x Reorder the terms: 24 + 6x = 9 + -4x + -3x Combine like terms: -4x + -3x = -7x 24 + 6x = 9 + -7x Solving 24 + 6x = 9 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 24 + 6x + 7x = 9 + -7x + 7x Combine like terms: 6x + 7x = 13x 24 + 13x = 9 + -7x + 7x Combine like terms: -7x + 7x = 0 24 + 13x = 9 + 0 24 + 13x = 9 Add '-24' to each side of the equation. 24 + -24 + 13x = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 13x = 9 + -24 13x = 9 + -24 Combine like terms: 9 + -24 = -15 13x = -15 Divide each side by '13'. x = -1.153846154 Simplifying x = -1.153846154
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