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Simplifying 15 + 2(x + -10) = 3(2x + 1) + -18 Reorder the terms: 15 + 2(-10 + x) = 3(2x + 1) + -18 15 + (-10 * 2 + x * 2) = 3(2x + 1) + -18 15 + (-20 + 2x) = 3(2x + 1) + -18 Combine like terms: 15 + -20 = -5 -5 + 2x = 3(2x + 1) + -18 Reorder the terms: -5 + 2x = 3(1 + 2x) + -18 -5 + 2x = (1 * 3 + 2x * 3) + -18 -5 + 2x = (3 + 6x) + -18 Reorder the terms: -5 + 2x = 3 + -18 + 6x Combine like terms: 3 + -18 = -15 -5 + 2x = -15 + 6x Solving -5 + 2x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 2x + -6x = -15 + 6x + -6x Combine like terms: 2x + -6x = -4x -5 + -4x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -4x = -15 + 0 -5 + -4x = -15 Add '5' to each side of the equation. -5 + 5 + -4x = -15 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -15 + 5 -4x = -15 + 5 Combine like terms: -15 + 5 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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