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Simplifying 4(x + -2) + -1(x + -3) = -2(3x + -1) + -17 Reorder the terms: 4(-2 + x) + -1(x + -3) = -2(3x + -1) + -17 (-2 * 4 + x * 4) + -1(x + -3) = -2(3x + -1) + -17 (-8 + 4x) + -1(x + -3) = -2(3x + -1) + -17 Reorder the terms: -8 + 4x + -1(-3 + x) = -2(3x + -1) + -17 -8 + 4x + (-3 * -1 + x * -1) = -2(3x + -1) + -17 -8 + 4x + (3 + -1x) = -2(3x + -1) + -17 Reorder the terms: -8 + 3 + 4x + -1x = -2(3x + -1) + -17 Combine like terms: -8 + 3 = -5 -5 + 4x + -1x = -2(3x + -1) + -17 Combine like terms: 4x + -1x = 3x -5 + 3x = -2(3x + -1) + -17 Reorder the terms: -5 + 3x = -2(-1 + 3x) + -17 -5 + 3x = (-1 * -2 + 3x * -2) + -17 -5 + 3x = (2 + -6x) + -17 Reorder the terms: -5 + 3x = 2 + -17 + -6x Combine like terms: 2 + -17 = -15 -5 + 3x = -15 + -6x Solving -5 + 3x = -15 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -5 + 3x + 6x = -15 + -6x + 6x Combine like terms: 3x + 6x = 9x -5 + 9x = -15 + -6x + 6x Combine like terms: -6x + 6x = 0 -5 + 9x = -15 + 0 -5 + 9x = -15 Add '5' to each side of the equation. -5 + 5 + 9x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + 9x = -15 + 5 9x = -15 + 5 Combine like terms: -15 + 5 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111
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