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Simplifying 2(3x + -5) + -4(x + -1) = 3x + -7 Reorder the terms: 2(-5 + 3x) + -4(x + -1) = 3x + -7 (-5 * 2 + 3x * 2) + -4(x + -1) = 3x + -7 (-10 + 6x) + -4(x + -1) = 3x + -7 Reorder the terms: -10 + 6x + -4(-1 + x) = 3x + -7 -10 + 6x + (-1 * -4 + x * -4) = 3x + -7 -10 + 6x + (4 + -4x) = 3x + -7 Reorder the terms: -10 + 4 + 6x + -4x = 3x + -7 Combine like terms: -10 + 4 = -6 -6 + 6x + -4x = 3x + -7 Combine like terms: 6x + -4x = 2x -6 + 2x = 3x + -7 Reorder the terms: -6 + 2x = -7 + 3x Solving -6 + 2x = -7 + 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. -6 + 2x + -3x = -7 + 3x + -3x Combine like terms: 2x + -3x = -1x -6 + -1x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -1x = -7 + 0 -6 + -1x = -7 Add '6' to each side of the equation. -6 + 6 + -1x = -7 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = -7 + 6 -1x = -7 + 6 Combine like terms: -7 + 6 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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