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Simplifying 4(2x + -7) + -3 = 4(x + -5) + 1 Reorder the terms: 4(-7 + 2x) + -3 = 4(x + -5) + 1 (-7 * 4 + 2x * 4) + -3 = 4(x + -5) + 1 (-28 + 8x) + -3 = 4(x + -5) + 1 Reorder the terms: -28 + -3 + 8x = 4(x + -5) + 1 Combine like terms: -28 + -3 = -31 -31 + 8x = 4(x + -5) + 1 Reorder the terms: -31 + 8x = 4(-5 + x) + 1 -31 + 8x = (-5 * 4 + x * 4) + 1 -31 + 8x = (-20 + 4x) + 1 Reorder the terms: -31 + 8x = -20 + 1 + 4x Combine like terms: -20 + 1 = -19 -31 + 8x = -19 + 4x Solving -31 + 8x = -19 + 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. -31 + 8x + -4x = -19 + 4x + -4x Combine like terms: 8x + -4x = 4x -31 + 4x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 -31 + 4x = -19 + 0 -31 + 4x = -19 Add '31' to each side of the equation. -31 + 31 + 4x = -19 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = -19 + 31 4x = -19 + 31 Combine like terms: -19 + 31 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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