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Simplifying 4(4x + -1) + 5 = -12(2x + -1) Reorder the terms: 4(-1 + 4x) + 5 = -12(2x + -1) (-1 * 4 + 4x * 4) + 5 = -12(2x + -1) (-4 + 16x) + 5 = -12(2x + -1) Reorder the terms: -4 + 5 + 16x = -12(2x + -1) Combine like terms: -4 + 5 = 1 1 + 16x = -12(2x + -1) Reorder the terms: 1 + 16x = -12(-1 + 2x) 1 + 16x = (-1 * -12 + 2x * -12) 1 + 16x = (12 + -24x) Solving 1 + 16x = 12 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 1 + 16x + 24x = 12 + -24x + 24x Combine like terms: 16x + 24x = 40x 1 + 40x = 12 + -24x + 24x Combine like terms: -24x + 24x = 0 1 + 40x = 12 + 0 1 + 40x = 12 Add '-1' to each side of the equation. 1 + -1 + 40x = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 40x = 12 + -1 40x = 12 + -1 Combine like terms: 12 + -1 = 11 40x = 11 Divide each side by '40'. x = 0.275 Simplifying x = 0.275
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