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Simplifying -14 + 3(x + 10) = 7(-2x + 4) + x Reorder the terms: -14 + 3(10 + x) = 7(-2x + 4) + x -14 + (10 * 3 + x * 3) = 7(-2x + 4) + x -14 + (30 + 3x) = 7(-2x + 4) + x Combine like terms: -14 + 30 = 16 16 + 3x = 7(-2x + 4) + x Reorder the terms: 16 + 3x = 7(4 + -2x) + x 16 + 3x = (4 * 7 + -2x * 7) + x 16 + 3x = (28 + -14x) + x Combine like terms: -14x + x = -13x 16 + 3x = 28 + -13x Solving 16 + 3x = 28 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 16 + 3x + 13x = 28 + -13x + 13x Combine like terms: 3x + 13x = 16x 16 + 16x = 28 + -13x + 13x Combine like terms: -13x + 13x = 0 16 + 16x = 28 + 0 16 + 16x = 28 Add '-16' to each side of the equation. 16 + -16 + 16x = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 16x = 28 + -16 16x = 28 + -16 Combine like terms: 28 + -16 = 12 16x = 12 Divide each side by '16'. x = 0.75 Simplifying x = 0.75
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