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Simplifying 4(2x + 10) = -2(x + -6) + 3x Reorder the terms: 4(10 + 2x) = -2(x + -6) + 3x (10 * 4 + 2x * 4) = -2(x + -6) + 3x (40 + 8x) = -2(x + -6) + 3x Reorder the terms: 40 + 8x = -2(-6 + x) + 3x 40 + 8x = (-6 * -2 + x * -2) + 3x 40 + 8x = (12 + -2x) + 3x Combine like terms: -2x + 3x = 1x 40 + 8x = 12 + 1x Solving 40 + 8x = 12 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 40 + 8x + -1x = 12 + 1x + -1x Combine like terms: 8x + -1x = 7x 40 + 7x = 12 + 1x + -1x Combine like terms: 1x + -1x = 0 40 + 7x = 12 + 0 40 + 7x = 12 Add '-40' to each side of the equation. 40 + -40 + 7x = 12 + -40 Combine like terms: 40 + -40 = 0 0 + 7x = 12 + -40 7x = 12 + -40 Combine like terms: 12 + -40 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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