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Simplifying 2(12x + -8) + 7x + -2x + 4 = (15x + 13) + -9 Reorder the terms: 2(-8 + 12x) + 7x + -2x + 4 = (15x + 13) + -9 (-8 * 2 + 12x * 2) + 7x + -2x + 4 = (15x + 13) + -9 (-16 + 24x) + 7x + -2x + 4 = (15x + 13) + -9 Reorder the terms: -16 + 4 + 24x + 7x + -2x = (15x + 13) + -9 Combine like terms: -16 + 4 = -12 -12 + 24x + 7x + -2x = (15x + 13) + -9 Combine like terms: 24x + 7x = 31x -12 + 31x + -2x = (15x + 13) + -9 Combine like terms: 31x + -2x = 29x -12 + 29x = (15x + 13) + -9 Reorder the terms: -12 + 29x = (13 + 15x) + -9 Remove parenthesis around (13 + 15x) -12 + 29x = 13 + 15x + -9 Reorder the terms: -12 + 29x = 13 + -9 + 15x Combine like terms: 13 + -9 = 4 -12 + 29x = 4 + 15x Solving -12 + 29x = 4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 29x + -15x = 4 + 15x + -15x Combine like terms: 29x + -15x = 14x -12 + 14x = 4 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + 14x = 4 + 0 -12 + 14x = 4 Add '12' to each side of the equation. -12 + 12 + 14x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 4 + 12 14x = 4 + 12 Combine like terms: 4 + 12 = 16 14x = 16 Divide each side by '14'. x = 1.142857143 Simplifying x = 1.142857143
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