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Simplifying -1(4x + -7) = 2(x + 3) + -4x + 13 Reorder the terms: -1(-7 + 4x) = 2(x + 3) + -4x + 13 (-7 * -1 + 4x * -1) = 2(x + 3) + -4x + 13 (7 + -4x) = 2(x + 3) + -4x + 13 Reorder the terms: 7 + -4x = 2(3 + x) + -4x + 13 7 + -4x = (3 * 2 + x * 2) + -4x + 13 7 + -4x = (6 + 2x) + -4x + 13 Reorder the terms: 7 + -4x = 6 + 13 + 2x + -4x Combine like terms: 6 + 13 = 19 7 + -4x = 19 + 2x + -4x Combine like terms: 2x + -4x = -2x 7 + -4x = 19 + -2x Solving 7 + -4x = 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. 7 + -4x + 2x = 19 + -2x + 2x Combine like terms: -4x + 2x = -2x 7 + -2x = 19 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + -2x = 19 + 0 7 + -2x = 19 Add '-7' to each side of the equation. 7 + -7 + -2x = 19 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 19 + -7 -2x = 19 + -7 Combine like terms: 19 + -7 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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