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Simplifying 5x + -2x + 7 = 6(x + -3) Reorder the terms: 7 + 5x + -2x = 6(x + -3) Combine like terms: 5x + -2x = 3x 7 + 3x = 6(x + -3) Reorder the terms: 7 + 3x = 6(-3 + x) 7 + 3x = (-3 * 6 + x * 6) 7 + 3x = (-18 + 6x) Solving 7 + 3x = -18 + 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. 7 + 3x + -6x = -18 + 6x + -6x Combine like terms: 3x + -6x = -3x 7 + -3x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -3x = -18 + 0 7 + -3x = -18 Add '-7' to each side of the equation. 7 + -7 + -3x = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = -18 + -7 -3x = -18 + -7 Combine like terms: -18 + -7 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333
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