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Simplifying 2x + 28 = 3(8x + -10) + 40 + -4x Reorder the terms: 28 + 2x = 3(8x + -10) + 40 + -4x Reorder the terms: 28 + 2x = 3(-10 + 8x) + 40 + -4x 28 + 2x = (-10 * 3 + 8x * 3) + 40 + -4x 28 + 2x = (-30 + 24x) + 40 + -4x Reorder the terms: 28 + 2x = -30 + 40 + 24x + -4x Combine like terms: -30 + 40 = 10 28 + 2x = 10 + 24x + -4x Combine like terms: 24x + -4x = 20x 28 + 2x = 10 + 20x Solving 28 + 2x = 10 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 28 + 2x + -20x = 10 + 20x + -20x Combine like terms: 2x + -20x = -18x 28 + -18x = 10 + 20x + -20x Combine like terms: 20x + -20x = 0 28 + -18x = 10 + 0 28 + -18x = 10 Add '-28' to each side of the equation. 28 + -28 + -18x = 10 + -28 Combine like terms: 28 + -28 = 0 0 + -18x = 10 + -28 -18x = 10 + -28 Combine like terms: 10 + -28 = -18 -18x = -18 Divide each side by '-18'. x = 1 Simplifying x = 1
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