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Simplifying 5(x + -3) + -3 = 2x + -6(2 + -1x) + 7 Reorder the terms: 5(-3 + x) + -3 = 2x + -6(2 + -1x) + 7 (-3 * 5 + x * 5) + -3 = 2x + -6(2 + -1x) + 7 (-15 + 5x) + -3 = 2x + -6(2 + -1x) + 7 Reorder the terms: -15 + -3 + 5x = 2x + -6(2 + -1x) + 7 Combine like terms: -15 + -3 = -18 -18 + 5x = 2x + -6(2 + -1x) + 7 -18 + 5x = 2x + (2 * -6 + -1x * -6) + 7 -18 + 5x = 2x + (-12 + 6x) + 7 Reorder the terms: -18 + 5x = -12 + 7 + 2x + 6x Combine like terms: -12 + 7 = -5 -18 + 5x = -5 + 2x + 6x Combine like terms: 2x + 6x = 8x -18 + 5x = -5 + 8x Solving -18 + 5x = -5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -18 + 5x + -8x = -5 + 8x + -8x Combine like terms: 5x + -8x = -3x -18 + -3x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -18 + -3x = -5 + 0 -18 + -3x = -5 Add '18' to each side of the equation. -18 + 18 + -3x = -5 + 18 Combine like terms: -18 + 18 = 0 0 + -3x = -5 + 18 -3x = -5 + 18 Combine like terms: -5 + 18 = 13 -3x = 13 Divide each side by '-3'. x = -4.333333333 Simplifying x = -4.333333333
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