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Simplifying 4(x + 10) + 5 = 6x + 1 Reorder the terms: 4(10 + x) + 5 = 6x + 1 (10 * 4 + x * 4) + 5 = 6x + 1 (40 + 4x) + 5 = 6x + 1 Reorder the terms: 40 + 5 + 4x = 6x + 1 Combine like terms: 40 + 5 = 45 45 + 4x = 6x + 1 Reorder the terms: 45 + 4x = 1 + 6x Solving 45 + 4x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 45 + 4x + -6x = 1 + 6x + -6x Combine like terms: 4x + -6x = -2x 45 + -2x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 45 + -2x = 1 + 0 45 + -2x = 1 Add '-45' to each side of the equation. 45 + -45 + -2x = 1 + -45 Combine like terms: 45 + -45 = 0 0 + -2x = 1 + -45 -2x = 1 + -45 Combine like terms: 1 + -45 = -44 -2x = -44 Divide each side by '-2'. x = 22 Simplifying x = 22
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