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Simplifying 4(2x + -7) + -5 = 4(x + -2) + -13 Reorder the terms: 4(-7 + 2x) + -5 = 4(x + -2) + -13 (-7 * 4 + 2x * 4) + -5 = 4(x + -2) + -13 (-28 + 8x) + -5 = 4(x + -2) + -13 Reorder the terms: -28 + -5 + 8x = 4(x + -2) + -13 Combine like terms: -28 + -5 = -33 -33 + 8x = 4(x + -2) + -13 Reorder the terms: -33 + 8x = 4(-2 + x) + -13 -33 + 8x = (-2 * 4 + x * 4) + -13 -33 + 8x = (-8 + 4x) + -13 Reorder the terms: -33 + 8x = -8 + -13 + 4x Combine like terms: -8 + -13 = -21 -33 + 8x = -21 + 4x Solving -33 + 8x = -21 + 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. -33 + 8x + -4x = -21 + 4x + -4x Combine like terms: 8x + -4x = 4x -33 + 4x = -21 + 4x + -4x Combine like terms: 4x + -4x = 0 -33 + 4x = -21 + 0 -33 + 4x = -21 Add '33' to each side of the equation. -33 + 33 + 4x = -21 + 33 Combine like terms: -33 + 33 = 0 0 + 4x = -21 + 33 4x = -21 + 33 Combine like terms: -21 + 33 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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