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Simplifying 6(3x + -5) + 15 = 4(2x + 7) Reorder the terms: 6(-5 + 3x) + 15 = 4(2x + 7) (-5 * 6 + 3x * 6) + 15 = 4(2x + 7) (-30 + 18x) + 15 = 4(2x + 7) Reorder the terms: -30 + 15 + 18x = 4(2x + 7) Combine like terms: -30 + 15 = -15 -15 + 18x = 4(2x + 7) Reorder the terms: -15 + 18x = 4(7 + 2x) -15 + 18x = (7 * 4 + 2x * 4) -15 + 18x = (28 + 8x) Solving -15 + 18x = 28 + 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. -15 + 18x + -8x = 28 + 8x + -8x Combine like terms: 18x + -8x = 10x -15 + 10x = 28 + 8x + -8x Combine like terms: 8x + -8x = 0 -15 + 10x = 28 + 0 -15 + 10x = 28 Add '15' to each side of the equation. -15 + 15 + 10x = 28 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 28 + 15 10x = 28 + 15 Combine like terms: 28 + 15 = 43 10x = 43 Divide each side by '10'. x = 4.3 Simplifying x = 4.3
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