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Simplifying 2(5x + 3) = 2(x + -4) Reorder the terms: 2(3 + 5x) = 2(x + -4) (3 * 2 + 5x * 2) = 2(x + -4) (6 + 10x) = 2(x + -4) Reorder the terms: 6 + 10x = 2(-4 + x) 6 + 10x = (-4 * 2 + x * 2) 6 + 10x = (-8 + 2x) Solving 6 + 10x = -8 + 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. 6 + 10x + -2x = -8 + 2x + -2x Combine like terms: 10x + -2x = 8x 6 + 8x = -8 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + 8x = -8 + 0 6 + 8x = -8 Add '-6' to each side of the equation. 6 + -6 + 8x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 8x = -8 + -6 8x = -8 + -6 Combine like terms: -8 + -6 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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