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Simplifying 2x + -4x + 15 = 6(x + -3) Reorder the terms: 15 + 2x + -4x = 6(x + -3) Combine like terms: 2x + -4x = -2x 15 + -2x = 6(x + -3) Reorder the terms: 15 + -2x = 6(-3 + x) 15 + -2x = (-3 * 6 + x * 6) 15 + -2x = (-18 + 6x) Solving 15 + -2x = -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. 15 + -2x + -6x = -18 + 6x + -6x Combine like terms: -2x + -6x = -8x 15 + -8x = -18 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + -8x = -18 + 0 15 + -8x = -18 Add '-15' to each side of the equation. 15 + -15 + -8x = -18 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -18 + -15 -8x = -18 + -15 Combine like terms: -18 + -15 = -33 -8x = -33 Divide each side by '-8'. x = 4.125 Simplifying x = 4.125
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