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Simplifying 6x + -8 = 5(2x + 3) + -15 Reorder the terms: -8 + 6x = 5(2x + 3) + -15 Reorder the terms: -8 + 6x = 5(3 + 2x) + -15 -8 + 6x = (3 * 5 + 2x * 5) + -15 -8 + 6x = (15 + 10x) + -15 Reorder the terms: -8 + 6x = 15 + -15 + 10x Combine like terms: 15 + -15 = 0 -8 + 6x = 0 + 10x -8 + 6x = 10x Solving -8 + 6x = 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -8 + 6x + -10x = 10x + -10x Combine like terms: 6x + -10x = -4x -8 + -4x = 10x + -10x Combine like terms: 10x + -10x = 0 -8 + -4x = 0 Add '8' to each side of the equation. -8 + 8 + -4x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = 0 + 8 -4x = 0 + 8 Combine like terms: 0 + 8 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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