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Simplifying 4(x + -7) + 3 = 3(x + -5) Reorder the terms: 4(-7 + x) + 3 = 3(x + -5) (-7 * 4 + x * 4) + 3 = 3(x + -5) (-28 + 4x) + 3 = 3(x + -5) Reorder the terms: -28 + 3 + 4x = 3(x + -5) Combine like terms: -28 + 3 = -25 -25 + 4x = 3(x + -5) Reorder the terms: -25 + 4x = 3(-5 + x) -25 + 4x = (-5 * 3 + x * 3) -25 + 4x = (-15 + 3x) Solving -25 + 4x = -15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -25 + 4x + -3x = -15 + 3x + -3x Combine like terms: 4x + -3x = 1x -25 + 1x = -15 + 3x + -3x Combine like terms: 3x + -3x = 0 -25 + 1x = -15 + 0 -25 + 1x = -15 Add '25' to each side of the equation. -25 + 25 + 1x = -15 + 25 Combine like terms: -25 + 25 = 0 0 + 1x = -15 + 25 1x = -15 + 25 Combine like terms: -15 + 25 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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