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Simplifying 7 + -1(x + 2) + -4(1x + 6) = 2(x + -3) Reorder the terms: 7 + -1(2 + x) + -4(1x + 6) = 2(x + -3) 7 + (2 * -1 + x * -1) + -4(1x + 6) = 2(x + -3) 7 + (-2 + -1x) + -4(1x + 6) = 2(x + -3) Reorder the terms: 7 + -2 + -1x + -4(6 + 1x) = 2(x + -3) 7 + -2 + -1x + (6 * -4 + 1x * -4) = 2(x + -3) 7 + -2 + -1x + (-24 + -4x) = 2(x + -3) Reorder the terms: 7 + -2 + -24 + -1x + -4x = 2(x + -3) Combine like terms: 7 + -2 = 5 5 + -24 + -1x + -4x = 2(x + -3) Combine like terms: 5 + -24 = -19 -19 + -1x + -4x = 2(x + -3) Combine like terms: -1x + -4x = -5x -19 + -5x = 2(x + -3) Reorder the terms: -19 + -5x = 2(-3 + x) -19 + -5x = (-3 * 2 + x * 2) -19 + -5x = (-6 + 2x) Solving -19 + -5x = -6 + 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. -19 + -5x + -2x = -6 + 2x + -2x Combine like terms: -5x + -2x = -7x -19 + -7x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -19 + -7x = -6 + 0 -19 + -7x = -6 Add '19' to each side of the equation. -19 + 19 + -7x = -6 + 19 Combine like terms: -19 + 19 = 0 0 + -7x = -6 + 19 -7x = -6 + 19 Combine like terms: -6 + 19 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857
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