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Simplifying 5(x + -3) + 2 = 2(3x + -2) Reorder the terms: 5(-3 + x) + 2 = 2(3x + -2) (-3 * 5 + x * 5) + 2 = 2(3x + -2) (-15 + 5x) + 2 = 2(3x + -2) Reorder the terms: -15 + 2 + 5x = 2(3x + -2) Combine like terms: -15 + 2 = -13 -13 + 5x = 2(3x + -2) Reorder the terms: -13 + 5x = 2(-2 + 3x) -13 + 5x = (-2 * 2 + 3x * 2) -13 + 5x = (-4 + 6x) Solving -13 + 5x = -4 + 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. -13 + 5x + -6x = -4 + 6x + -6x Combine like terms: 5x + -6x = -1x -13 + -1x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -13 + -1x = -4 + 0 -13 + -1x = -4 Add '13' to each side of the equation. -13 + 13 + -1x = -4 + 13 Combine like terms: -13 + 13 = 0 0 + -1x = -4 + 13 -1x = -4 + 13 Combine like terms: -4 + 13 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9
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