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Simplifying 3(x + -5) + 2(2x + -4) = x + -1 Reorder the terms: 3(-5 + x) + 2(2x + -4) = x + -1 (-5 * 3 + x * 3) + 2(2x + -4) = x + -1 (-15 + 3x) + 2(2x + -4) = x + -1 Reorder the terms: -15 + 3x + 2(-4 + 2x) = x + -1 -15 + 3x + (-4 * 2 + 2x * 2) = x + -1 -15 + 3x + (-8 + 4x) = x + -1 Reorder the terms: -15 + -8 + 3x + 4x = x + -1 Combine like terms: -15 + -8 = -23 -23 + 3x + 4x = x + -1 Combine like terms: 3x + 4x = 7x -23 + 7x = x + -1 Reorder the terms: -23 + 7x = -1 + x Solving -23 + 7x = -1 + x 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. -23 + 7x + -1x = -1 + x + -1x Combine like terms: 7x + -1x = 6x -23 + 6x = -1 + x + -1x Combine like terms: x + -1x = 0 -23 + 6x = -1 + 0 -23 + 6x = -1 Add '23' to each side of the equation. -23 + 23 + 6x = -1 + 23 Combine like terms: -23 + 23 = 0 0 + 6x = -1 + 23 6x = -1 + 23 Combine like terms: -1 + 23 = 22 6x = 22 Divide each side by '6'. x = 3.666666667 Simplifying x = 3.666666667
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