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Simplifying 8x + 10 + -2x = 4(x + 7) Reorder the terms: 10 + 8x + -2x = 4(x + 7) Combine like terms: 8x + -2x = 6x 10 + 6x = 4(x + 7) Reorder the terms: 10 + 6x = 4(7 + x) 10 + 6x = (7 * 4 + x * 4) 10 + 6x = (28 + 4x) Solving 10 + 6x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 6x + -4x = 28 + 4x + -4x Combine like terms: 6x + -4x = 2x 10 + 2x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + 2x = 28 + 0 10 + 2x = 28 Add '-10' to each side of the equation. 10 + -10 + 2x = 28 + -10 Combine like terms: 10 + -10 = 0 0 + 2x = 28 + -10 2x = 28 + -10 Combine like terms: 28 + -10 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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