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Simplifying 2(5x + -3) + 3 = 6(2x + -3) + -15 Reorder the terms: 2(-3 + 5x) + 3 = 6(2x + -3) + -15 (-3 * 2 + 5x * 2) + 3 = 6(2x + -3) + -15 (-6 + 10x) + 3 = 6(2x + -3) + -15 Reorder the terms: -6 + 3 + 10x = 6(2x + -3) + -15 Combine like terms: -6 + 3 = -3 -3 + 10x = 6(2x + -3) + -15 Reorder the terms: -3 + 10x = 6(-3 + 2x) + -15 -3 + 10x = (-3 * 6 + 2x * 6) + -15 -3 + 10x = (-18 + 12x) + -15 Reorder the terms: -3 + 10x = -18 + -15 + 12x Combine like terms: -18 + -15 = -33 -3 + 10x = -33 + 12x Solving -3 + 10x = -33 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 10x + -12x = -33 + 12x + -12x Combine like terms: 10x + -12x = -2x -3 + -2x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -2x = -33 + 0 -3 + -2x = -33 Add '3' to each side of the equation. -3 + 3 + -2x = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -33 + 3 -2x = -33 + 3 Combine like terms: -33 + 3 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15
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