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Simplifying 5(3x + -6) = -1(x + 7) + 2x Reorder the terms: 5(-6 + 3x) = -1(x + 7) + 2x (-6 * 5 + 3x * 5) = -1(x + 7) + 2x (-30 + 15x) = -1(x + 7) + 2x Reorder the terms: -30 + 15x = -1(7 + x) + 2x -30 + 15x = (7 * -1 + x * -1) + 2x -30 + 15x = (-7 + -1x) + 2x Combine like terms: -1x + 2x = 1x -30 + 15x = -7 + 1x Solving -30 + 15x = -7 + 1x 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. -30 + 15x + -1x = -7 + 1x + -1x Combine like terms: 15x + -1x = 14x -30 + 14x = -7 + 1x + -1x Combine like terms: 1x + -1x = 0 -30 + 14x = -7 + 0 -30 + 14x = -7 Add '30' to each side of the equation. -30 + 30 + 14x = -7 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = -7 + 30 14x = -7 + 30 Combine like terms: -7 + 30 = 23 14x = 23 Divide each side by '14'. x = 1.642857143 Simplifying x = 1.642857143
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