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Simplifying 6x + 5 + -1(2x + -4) = 7x + -3(5 + -1x) Reorder the terms: 6x + 5 + -1(-4 + 2x) = 7x + -3(5 + -1x) 6x + 5 + (-4 * -1 + 2x * -1) = 7x + -3(5 + -1x) 6x + 5 + (4 + -2x) = 7x + -3(5 + -1x) Reorder the terms: 5 + 4 + 6x + -2x = 7x + -3(5 + -1x) Combine like terms: 5 + 4 = 9 9 + 6x + -2x = 7x + -3(5 + -1x) Combine like terms: 6x + -2x = 4x 9 + 4x = 7x + -3(5 + -1x) 9 + 4x = 7x + (5 * -3 + -1x * -3) 9 + 4x = 7x + (-15 + 3x) Reorder the terms: 9 + 4x = -15 + 7x + 3x Combine like terms: 7x + 3x = 10x 9 + 4x = -15 + 10x Solving 9 + 4x = -15 + 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. 9 + 4x + -10x = -15 + 10x + -10x Combine like terms: 4x + -10x = -6x 9 + -6x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -6x = -15 + 0 9 + -6x = -15 Add '-9' to each side of the equation. 9 + -9 + -6x = -15 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = -15 + -9 -6x = -15 + -9 Combine like terms: -15 + -9 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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