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