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Simplifying 9x + -3(x + -4) = 13 + -2(x + -3) Reorder the terms: 9x + -3(-4 + x) = 13 + -2(x + -3) 9x + (-4 * -3 + x * -3) = 13 + -2(x + -3) 9x + (12 + -3x) = 13 + -2(x + -3) Reorder the terms: 12 + 9x + -3x = 13 + -2(x + -3) Combine like terms: 9x + -3x = 6x 12 + 6x = 13 + -2(x + -3) Reorder the terms: 12 + 6x = 13 + -2(-3 + x) 12 + 6x = 13 + (-3 * -2 + x * -2) 12 + 6x = 13 + (6 + -2x) Combine like terms: 13 + 6 = 19 12 + 6x = 19 + -2x Solving 12 + 6x = 19 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 6x + 2x = 19 + -2x + 2x Combine like terms: 6x + 2x = 8x 12 + 8x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 8x = 19 + 0 12 + 8x = 19 Add '-12' to each side of the equation. 12 + -12 + 8x = 19 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 19 + -12 8x = 19 + -12 Combine like terms: 19 + -12 = 7 8x = 7 Divide each side by '8'. x = 0.875 Simplifying x = 0.875
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