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Simplifying 7(x + 10) + x = 4(x + 4) + -4 Reorder the terms: 7(10 + x) + x = 4(x + 4) + -4 (10 * 7 + x * 7) + x = 4(x + 4) + -4 (70 + 7x) + x = 4(x + 4) + -4 Combine like terms: 7x + x = 8x 70 + 8x = 4(x + 4) + -4 Reorder the terms: 70 + 8x = 4(4 + x) + -4 70 + 8x = (4 * 4 + x * 4) + -4 70 + 8x = (16 + 4x) + -4 Reorder the terms: 70 + 8x = 16 + -4 + 4x Combine like terms: 16 + -4 = 12 70 + 8x = 12 + 4x Solving 70 + 8x = 12 + 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. 70 + 8x + -4x = 12 + 4x + -4x Combine like terms: 8x + -4x = 4x 70 + 4x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 70 + 4x = 12 + 0 70 + 4x = 12 Add '-70' to each side of the equation. 70 + -70 + 4x = 12 + -70 Combine like terms: 70 + -70 = 0 0 + 4x = 12 + -70 4x = 12 + -70 Combine like terms: 12 + -70 = -58 4x = -58 Divide each side by '4'. x = -14.5 Simplifying x = -14.5
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