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Simplifying 3(2x + -5) + -4x = 5 + -4(7 + -1x) Reorder the terms: 3(-5 + 2x) + -4x = 5 + -4(7 + -1x) (-5 * 3 + 2x * 3) + -4x = 5 + -4(7 + -1x) (-15 + 6x) + -4x = 5 + -4(7 + -1x) Combine like terms: 6x + -4x = 2x -15 + 2x = 5 + -4(7 + -1x) -15 + 2x = 5 + (7 * -4 + -1x * -4) -15 + 2x = 5 + (-28 + 4x) Combine like terms: 5 + -28 = -23 -15 + 2x = -23 + 4x Solving -15 + 2x = -23 + 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. -15 + 2x + -4x = -23 + 4x + -4x Combine like terms: 2x + -4x = -2x -15 + -2x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -2x = -23 + 0 -15 + -2x = -23 Add '15' to each side of the equation. -15 + 15 + -2x = -23 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = -23 + 15 -2x = -23 + 15 Combine like terms: -23 + 15 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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