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Simplifying 3(x + -5) + -2x + 10 = 2x + -4(x + 6) + 1 Reorder the terms: 3(-5 + x) + -2x + 10 = 2x + -4(x + 6) + 1 (-5 * 3 + x * 3) + -2x + 10 = 2x + -4(x + 6) + 1 (-15 + 3x) + -2x + 10 = 2x + -4(x + 6) + 1 Reorder the terms: -15 + 10 + 3x + -2x = 2x + -4(x + 6) + 1 Combine like terms: -15 + 10 = -5 -5 + 3x + -2x = 2x + -4(x + 6) + 1 Combine like terms: 3x + -2x = 1x -5 + 1x = 2x + -4(x + 6) + 1 Reorder the terms: -5 + 1x = 2x + -4(6 + x) + 1 -5 + 1x = 2x + (6 * -4 + x * -4) + 1 -5 + 1x = 2x + (-24 + -4x) + 1 Reorder the terms: -5 + 1x = -24 + 1 + 2x + -4x Combine like terms: -24 + 1 = -23 -5 + 1x = -23 + 2x + -4x Combine like terms: 2x + -4x = -2x -5 + 1x = -23 + -2x Solving -5 + 1x = -23 + -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. -5 + 1x + 2x = -23 + -2x + 2x Combine like terms: 1x + 2x = 3x -5 + 3x = -23 + -2x + 2x Combine like terms: -2x + 2x = 0 -5 + 3x = -23 + 0 -5 + 3x = -23 Add '5' to each side of the equation. -5 + 5 + 3x = -23 + 5 Combine like terms: -5 + 5 = 0 0 + 3x = -23 + 5 3x = -23 + 5 Combine like terms: -23 + 5 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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