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Simplifying 5(2x + 3) + -4x = -3(-2x + 1) + -6x + 6 Reorder the terms: 5(3 + 2x) + -4x = -3(-2x + 1) + -6x + 6 (3 * 5 + 2x * 5) + -4x = -3(-2x + 1) + -6x + 6 (15 + 10x) + -4x = -3(-2x + 1) + -6x + 6 Combine like terms: 10x + -4x = 6x 15 + 6x = -3(-2x + 1) + -6x + 6 Reorder the terms: 15 + 6x = -3(1 + -2x) + -6x + 6 15 + 6x = (1 * -3 + -2x * -3) + -6x + 6 15 + 6x = (-3 + 6x) + -6x + 6 Reorder the terms: 15 + 6x = -3 + 6 + 6x + -6x Combine like terms: -3 + 6 = 3 15 + 6x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 6x = 3 + 0 15 + 6x = 3 Solving 15 + 6x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 6x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 3 + -15 6x = 3 + -15 Combine like terms: 3 + -15 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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