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Simplifying x + 45 = 2(4x + -5) + 6 Reorder the terms: 45 + x = 2(4x + -5) + 6 Reorder the terms: 45 + x = 2(-5 + 4x) + 6 45 + x = (-5 * 2 + 4x * 2) + 6 45 + x = (-10 + 8x) + 6 Reorder the terms: 45 + x = -10 + 6 + 8x Combine like terms: -10 + 6 = -4 45 + x = -4 + 8x Solving 45 + x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + x + -8x = -4 + 8x + -8x Combine like terms: x + -8x = -7x 45 + -7x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -7x = -4 + 0 45 + -7x = -4 Add '-45' to each side of the equation. 45 + -45 + -7x = -4 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = -4 + -45 -7x = -4 + -45 Combine like terms: -4 + -45 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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