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Simplifying 22(0.5x + -8) = 4(x + -2) + 1 Reorder the terms: 22(-8 + 0.5x) = 4(x + -2) + 1 (-8 * 22 + 0.5x * 22) = 4(x + -2) + 1 (-176 + 11x) = 4(x + -2) + 1 Reorder the terms: -176 + 11x = 4(-2 + x) + 1 -176 + 11x = (-2 * 4 + x * 4) + 1 -176 + 11x = (-8 + 4x) + 1 Reorder the terms: -176 + 11x = -8 + 1 + 4x Combine like terms: -8 + 1 = -7 -176 + 11x = -7 + 4x Solving -176 + 11x = -7 + 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. -176 + 11x + -4x = -7 + 4x + -4x Combine like terms: 11x + -4x = 7x -176 + 7x = -7 + 4x + -4x Combine like terms: 4x + -4x = 0 -176 + 7x = -7 + 0 -176 + 7x = -7 Add '176' to each side of the equation. -176 + 176 + 7x = -7 + 176 Combine like terms: -176 + 176 = 0 0 + 7x = -7 + 176 7x = -7 + 176 Combine like terms: -7 + 176 = 169 7x = 169 Divide each side by '7'. x = 24.14285714 Simplifying x = 24.14285714
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