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Simplifying 5(3 + -1x) + -1(x + 2) = 7 + 4(x + -6) (3 * 5 + -1x * 5) + -1(x + 2) = 7 + 4(x + -6) (15 + -5x) + -1(x + 2) = 7 + 4(x + -6) Reorder the terms: 15 + -5x + -1(2 + x) = 7 + 4(x + -6) 15 + -5x + (2 * -1 + x * -1) = 7 + 4(x + -6) 15 + -5x + (-2 + -1x) = 7 + 4(x + -6) Reorder the terms: 15 + -2 + -5x + -1x = 7 + 4(x + -6) Combine like terms: 15 + -2 = 13 13 + -5x + -1x = 7 + 4(x + -6) Combine like terms: -5x + -1x = -6x 13 + -6x = 7 + 4(x + -6) Reorder the terms: 13 + -6x = 7 + 4(-6 + x) 13 + -6x = 7 + (-6 * 4 + x * 4) 13 + -6x = 7 + (-24 + 4x) Combine like terms: 7 + -24 = -17 13 + -6x = -17 + 4x Solving 13 + -6x = -17 + 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. 13 + -6x + -4x = -17 + 4x + -4x Combine like terms: -6x + -4x = -10x 13 + -10x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 13 + -10x = -17 + 0 13 + -10x = -17 Add '-13' to each side of the equation. 13 + -13 + -10x = -17 + -13 Combine like terms: 13 + -13 = 0 0 + -10x = -17 + -13 -10x = -17 + -13 Combine like terms: -17 + -13 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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