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Simplifying 2(7x + 3) + 4 = 7(2x + -1) + 2x Reorder the terms: 2(3 + 7x) + 4 = 7(2x + -1) + 2x (3 * 2 + 7x * 2) + 4 = 7(2x + -1) + 2x (6 + 14x) + 4 = 7(2x + -1) + 2x Reorder the terms: 6 + 4 + 14x = 7(2x + -1) + 2x Combine like terms: 6 + 4 = 10 10 + 14x = 7(2x + -1) + 2x Reorder the terms: 10 + 14x = 7(-1 + 2x) + 2x 10 + 14x = (-1 * 7 + 2x * 7) + 2x 10 + 14x = (-7 + 14x) + 2x Combine like terms: 14x + 2x = 16x 10 + 14x = -7 + 16x Solving 10 + 14x = -7 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 10 + 14x + -16x = -7 + 16x + -16x Combine like terms: 14x + -16x = -2x 10 + -2x = -7 + 16x + -16x Combine like terms: 16x + -16x = 0 10 + -2x = -7 + 0 10 + -2x = -7 Add '-10' to each side of the equation. 10 + -10 + -2x = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -7 + -10 -2x = -7 + -10 Combine like terms: -7 + -10 = -17 -2x = -17 Divide each side by '-2'. x = 8.5 Simplifying x = 8.5
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