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Simplifying 4(4x + -2) = 5(3x + 22) Reorder the terms: 4(-2 + 4x) = 5(3x + 22) (-2 * 4 + 4x * 4) = 5(3x + 22) (-8 + 16x) = 5(3x + 22) Reorder the terms: -8 + 16x = 5(22 + 3x) -8 + 16x = (22 * 5 + 3x * 5) -8 + 16x = (110 + 15x) Solving -8 + 16x = 110 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -8 + 16x + -15x = 110 + 15x + -15x Combine like terms: 16x + -15x = 1x -8 + 1x = 110 + 15x + -15x Combine like terms: 15x + -15x = 0 -8 + 1x = 110 + 0 -8 + 1x = 110 Add '8' to each side of the equation. -8 + 8 + 1x = 110 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 110 + 8 1x = 110 + 8 Combine like terms: 110 + 8 = 118 1x = 118 Divide each side by '1'. x = 118 Simplifying x = 118
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