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Simplifying 3(2x + -5) + -2(x + -4) = 3x + -1 Reorder the terms: 3(-5 + 2x) + -2(x + -4) = 3x + -1 (-5 * 3 + 2x * 3) + -2(x + -4) = 3x + -1 (-15 + 6x) + -2(x + -4) = 3x + -1 Reorder the terms: -15 + 6x + -2(-4 + x) = 3x + -1 -15 + 6x + (-4 * -2 + x * -2) = 3x + -1 -15 + 6x + (8 + -2x) = 3x + -1 Reorder the terms: -15 + 8 + 6x + -2x = 3x + -1 Combine like terms: -15 + 8 = -7 -7 + 6x + -2x = 3x + -1 Combine like terms: 6x + -2x = 4x -7 + 4x = 3x + -1 Reorder the terms: -7 + 4x = -1 + 3x Solving -7 + 4x = -1 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -7 + 4x + -3x = -1 + 3x + -3x Combine like terms: 4x + -3x = 1x -7 + 1x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + 1x = -1 + 0 -7 + 1x = -1 Add '7' to each side of the equation. -7 + 7 + 1x = -1 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = -1 + 7 1x = -1 + 7 Combine like terms: -1 + 7 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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