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Simplifying 6(x + -5) + -7 = 3x + 2(x + -2) Reorder the terms: 6(-5 + x) + -7 = 3x + 2(x + -2) (-5 * 6 + x * 6) + -7 = 3x + 2(x + -2) (-30 + 6x) + -7 = 3x + 2(x + -2) Reorder the terms: -30 + -7 + 6x = 3x + 2(x + -2) Combine like terms: -30 + -7 = -37 -37 + 6x = 3x + 2(x + -2) Reorder the terms: -37 + 6x = 3x + 2(-2 + x) -37 + 6x = 3x + (-2 * 2 + x * 2) -37 + 6x = 3x + (-4 + 2x) Reorder the terms: -37 + 6x = -4 + 3x + 2x Combine like terms: 3x + 2x = 5x -37 + 6x = -4 + 5x Solving -37 + 6x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -37 + 6x + -5x = -4 + 5x + -5x Combine like terms: 6x + -5x = 1x -37 + 1x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 -37 + 1x = -4 + 0 -37 + 1x = -4 Add '37' to each side of the equation. -37 + 37 + 1x = -4 + 37 Combine like terms: -37 + 37 = 0 0 + 1x = -4 + 37 1x = -4 + 37 Combine like terms: -4 + 37 = 33 1x = 33 Divide each side by '1'. x = 33 Simplifying x = 33
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