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Simplifying 4(2x + -3) + -1x = 9 + -6(x + 1) Reorder the terms: 4(-3 + 2x) + -1x = 9 + -6(x + 1) (-3 * 4 + 2x * 4) + -1x = 9 + -6(x + 1) (-12 + 8x) + -1x = 9 + -6(x + 1) Combine like terms: 8x + -1x = 7x -12 + 7x = 9 + -6(x + 1) Reorder the terms: -12 + 7x = 9 + -6(1 + x) -12 + 7x = 9 + (1 * -6 + x * -6) -12 + 7x = 9 + (-6 + -6x) Combine like terms: 9 + -6 = 3 -12 + 7x = 3 + -6x Solving -12 + 7x = 3 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 7x + 6x = 3 + -6x + 6x Combine like terms: 7x + 6x = 13x -12 + 13x = 3 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 13x = 3 + 0 -12 + 13x = 3 Add '12' to each side of the equation. -12 + 12 + 13x = 3 + 12 Combine like terms: -12 + 12 = 0 0 + 13x = 3 + 12 13x = 3 + 12 Combine like terms: 3 + 12 = 15 13x = 15 Divide each side by '13'. x = 1.153846154 Simplifying x = 1.153846154
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