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Simplifying 5(2x + 3) = 6x + -4x + -1 Reorder the terms: 5(3 + 2x) = 6x + -4x + -1 (3 * 5 + 2x * 5) = 6x + -4x + -1 (15 + 10x) = 6x + -4x + -1 Reorder the terms: 15 + 10x = -1 + 6x + -4x Combine like terms: 6x + -4x = 2x 15 + 10x = -1 + 2x Solving 15 + 10x = -1 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 10x + -2x = -1 + 2x + -2x Combine like terms: 10x + -2x = 8x 15 + 8x = -1 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 8x = -1 + 0 15 + 8x = -1 Add '-15' to each side of the equation. 15 + -15 + 8x = -1 + -15 Combine like terms: 15 + -15 = 0 0 + 8x = -1 + -15 8x = -1 + -15 Combine like terms: -1 + -15 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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