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Simplifying -31 + -4(4x + -3) = 4(6x + 4) + -4 Reorder the terms: -31 + -4(-3 + 4x) = 4(6x + 4) + -4 -31 + (-3 * -4 + 4x * -4) = 4(6x + 4) + -4 -31 + (12 + -16x) = 4(6x + 4) + -4 Combine like terms: -31 + 12 = -19 -19 + -16x = 4(6x + 4) + -4 Reorder the terms: -19 + -16x = 4(4 + 6x) + -4 -19 + -16x = (4 * 4 + 6x * 4) + -4 -19 + -16x = (16 + 24x) + -4 Reorder the terms: -19 + -16x = 16 + -4 + 24x Combine like terms: 16 + -4 = 12 -19 + -16x = 12 + 24x Solving -19 + -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. -19 + -16x + -24x = 12 + 24x + -24x Combine like terms: -16x + -24x = -40x -19 + -40x = 12 + 24x + -24x Combine like terms: 24x + -24x = 0 -19 + -40x = 12 + 0 -19 + -40x = 12 Add '19' to each side of the equation. -19 + 19 + -40x = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -40x = 12 + 19 -40x = 12 + 19 Combine like terms: 12 + 19 = 31 -40x = 31 Divide each side by '-40'. x = -0.775 Simplifying x = -0.775
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