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Simplifying 7(-6 + 4x) + -2(8 + 2x) = 62 (-6 * 7 + 4x * 7) + -2(8 + 2x) = 62 (-42 + 28x) + -2(8 + 2x) = 62 -42 + 28x + (8 * -2 + 2x * -2) = 62 -42 + 28x + (-16 + -4x) = 62 Reorder the terms: -42 + -16 + 28x + -4x = 62 Combine like terms: -42 + -16 = -58 -58 + 28x + -4x = 62 Combine like terms: 28x + -4x = 24x -58 + 24x = 62 Solving -58 + 24x = 62 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58' to each side of the equation. -58 + 58 + 24x = 62 + 58 Combine like terms: -58 + 58 = 0 0 + 24x = 62 + 58 24x = 62 + 58 Combine like terms: 62 + 58 = 120 24x = 120 Divide each side by '24'. x = 5 Simplifying x = 5
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