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Simplifying 1x * 4 + 45 = 1x * 8 + -11 Reorder the terms for easier multiplication: 1 * 4x + 45 = 1x * 8 + -11 Multiply 1 * 4 4x + 45 = 1x * 8 + -11 Reorder the terms: 45 + 4x = 1x * 8 + -11 Reorder the terms for easier multiplication: 45 + 4x = 1 * 8x + -11 Multiply 1 * 8 45 + 4x = 8x + -11 Reorder the terms: 45 + 4x = -11 + 8x Solving 45 + 4x = -11 + 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 + 4x + -8x = -11 + 8x + -8x Combine like terms: 4x + -8x = -4x 45 + -4x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + -4x = -11 + 0 45 + -4x = -11 Add '-45' to each side of the equation. 45 + -45 + -4x = -11 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = -11 + -45 -4x = -11 + -45 Combine like terms: -11 + -45 = -56 -4x = -56 Divide each side by '-4'. x = 14 Simplifying x = 14
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