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Simplifying 5(2x + -6) + 3x + -7 = x Reorder the terms: 5(-6 + 2x) + 3x + -7 = x (-6 * 5 + 2x * 5) + 3x + -7 = x (-30 + 10x) + 3x + -7 = x Reorder the terms: -30 + -7 + 10x + 3x = x Combine like terms: -30 + -7 = -37 -37 + 10x + 3x = x Combine like terms: 10x + 3x = 13x -37 + 13x = x Solving -37 + 13x = 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. -37 + 13x + -1x = x + -1x Combine like terms: 13x + -1x = 12x -37 + 12x = x + -1x Combine like terms: x + -1x = 0 -37 + 12x = 0 Add '37' to each side of the equation. -37 + 37 + 12x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 12x = 0 + 37 12x = 0 + 37 Combine like terms: 0 + 37 = 37 12x = 37 Divide each side by '12'. x = 3.083333333 Simplifying x = 3.083333333
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