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Simplifying 13x + -3(-2x + -3) = 4(x + 4) + -12 Reorder the terms: 13x + -3(-3 + -2x) = 4(x + 4) + -12 13x + (-3 * -3 + -2x * -3) = 4(x + 4) + -12 13x + (9 + 6x) = 4(x + 4) + -12 Reorder the terms: 9 + 13x + 6x = 4(x + 4) + -12 Combine like terms: 13x + 6x = 19x 9 + 19x = 4(x + 4) + -12 Reorder the terms: 9 + 19x = 4(4 + x) + -12 9 + 19x = (4 * 4 + x * 4) + -12 9 + 19x = (16 + 4x) + -12 Reorder the terms: 9 + 19x = 16 + -12 + 4x Combine like terms: 16 + -12 = 4 9 + 19x = 4 + 4x Solving 9 + 19x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 9 + 19x + -4x = 4 + 4x + -4x Combine like terms: 19x + -4x = 15x 9 + 15x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 9 + 15x = 4 + 0 9 + 15x = 4 Add '-9' to each side of the equation. 9 + -9 + 15x = 4 + -9 Combine like terms: 9 + -9 = 0 0 + 15x = 4 + -9 15x = 4 + -9 Combine like terms: 4 + -9 = -5 15x = -5 Divide each side by '15'. x = -0.3333333333 Simplifying x = -0.3333333333
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