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Simplifying 5x + -6 + -3(x + 4) = 3(x + -5) + -7 Reorder the terms: 5x + -6 + -3(4 + x) = 3(x + -5) + -7 5x + -6 + (4 * -3 + x * -3) = 3(x + -5) + -7 5x + -6 + (-12 + -3x) = 3(x + -5) + -7 Reorder the terms: -6 + -12 + 5x + -3x = 3(x + -5) + -7 Combine like terms: -6 + -12 = -18 -18 + 5x + -3x = 3(x + -5) + -7 Combine like terms: 5x + -3x = 2x -18 + 2x = 3(x + -5) + -7 Reorder the terms: -18 + 2x = 3(-5 + x) + -7 -18 + 2x = (-5 * 3 + x * 3) + -7 -18 + 2x = (-15 + 3x) + -7 Reorder the terms: -18 + 2x = -15 + -7 + 3x Combine like terms: -15 + -7 = -22 -18 + 2x = -22 + 3x Solving -18 + 2x = -22 + 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. -18 + 2x + -3x = -22 + 3x + -3x Combine like terms: 2x + -3x = -1x -18 + -1x = -22 + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + -1x = -22 + 0 -18 + -1x = -22 Add '18' to each side of the equation. -18 + 18 + -1x = -22 + 18 Combine like terms: -18 + 18 = 0 0 + -1x = -22 + 18 -1x = -22 + 18 Combine like terms: -22 + 18 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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