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Simplifying 5(x + -3) + -6x + -3 = -2(2x + -4) + 2 Reorder the terms: 5(-3 + x) + -6x + -3 = -2(2x + -4) + 2 (-3 * 5 + x * 5) + -6x + -3 = -2(2x + -4) + 2 (-15 + 5x) + -6x + -3 = -2(2x + -4) + 2 Reorder the terms: -15 + -3 + 5x + -6x = -2(2x + -4) + 2 Combine like terms: -15 + -3 = -18 -18 + 5x + -6x = -2(2x + -4) + 2 Combine like terms: 5x + -6x = -1x -18 + -1x = -2(2x + -4) + 2 Reorder the terms: -18 + -1x = -2(-4 + 2x) + 2 -18 + -1x = (-4 * -2 + 2x * -2) + 2 -18 + -1x = (8 + -4x) + 2 Reorder the terms: -18 + -1x = 8 + 2 + -4x Combine like terms: 8 + 2 = 10 -18 + -1x = 10 + -4x Solving -18 + -1x = 10 + -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. -18 + -1x + 4x = 10 + -4x + 4x Combine like terms: -1x + 4x = 3x -18 + 3x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 -18 + 3x = 10 + 0 -18 + 3x = 10 Add '18' to each side of the equation. -18 + 18 + 3x = 10 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 10 + 18 3x = 10 + 18 Combine like terms: 10 + 18 = 28 3x = 28 Divide each side by '3'. x = 9.333333333 Simplifying x = 9.333333333
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