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Simplifying 4(2x + -1) + 3 = 2(x + -4) + -5 Reorder the terms: 4(-1 + 2x) + 3 = 2(x + -4) + -5 (-1 * 4 + 2x * 4) + 3 = 2(x + -4) + -5 (-4 + 8x) + 3 = 2(x + -4) + -5 Reorder the terms: -4 + 3 + 8x = 2(x + -4) + -5 Combine like terms: -4 + 3 = -1 -1 + 8x = 2(x + -4) + -5 Reorder the terms: -1 + 8x = 2(-4 + x) + -5 -1 + 8x = (-4 * 2 + x * 2) + -5 -1 + 8x = (-8 + 2x) + -5 Reorder the terms: -1 + 8x = -8 + -5 + 2x Combine like terms: -8 + -5 = -13 -1 + 8x = -13 + 2x Solving -1 + 8x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 8x + -2x = -13 + 2x + -2x Combine like terms: 8x + -2x = 6x -1 + 6x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 6x = -13 + 0 -1 + 6x = -13 Add '1' to each side of the equation. -1 + 1 + 6x = -13 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = -13 + 1 6x = -13 + 1 Combine like terms: -13 + 1 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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