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Simplifying 3(2x + -7) + 14 + -7x = 15x + -11 + 2x Reorder the terms: 3(-7 + 2x) + 14 + -7x = 15x + -11 + 2x (-7 * 3 + 2x * 3) + 14 + -7x = 15x + -11 + 2x (-21 + 6x) + 14 + -7x = 15x + -11 + 2x Reorder the terms: -21 + 14 + 6x + -7x = 15x + -11 + 2x Combine like terms: -21 + 14 = -7 -7 + 6x + -7x = 15x + -11 + 2x Combine like terms: 6x + -7x = -1x -7 + -1x = 15x + -11 + 2x Reorder the terms: -7 + -1x = -11 + 15x + 2x Combine like terms: 15x + 2x = 17x -7 + -1x = -11 + 17x Solving -7 + -1x = -11 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -7 + -1x + -17x = -11 + 17x + -17x Combine like terms: -1x + -17x = -18x -7 + -18x = -11 + 17x + -17x Combine like terms: 17x + -17x = 0 -7 + -18x = -11 + 0 -7 + -18x = -11 Add '7' to each side of the equation. -7 + 7 + -18x = -11 + 7 Combine like terms: -7 + 7 = 0 0 + -18x = -11 + 7 -18x = -11 + 7 Combine like terms: -11 + 7 = -4 -18x = -4 Divide each side by '-18'. x = 0.2222222222 Simplifying x = 0.2222222222
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