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Simplifying 4x + -15 = 7(x + -15) Reorder the terms: -15 + 4x = 7(x + -15) Reorder the terms: -15 + 4x = 7(-15 + x) -15 + 4x = (-15 * 7 + x * 7) -15 + 4x = (-105 + 7x) Solving -15 + 4x = -105 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -15 + 4x + -7x = -105 + 7x + -7x Combine like terms: 4x + -7x = -3x -15 + -3x = -105 + 7x + -7x Combine like terms: 7x + -7x = 0 -15 + -3x = -105 + 0 -15 + -3x = -105 Add '15' to each side of the equation. -15 + 15 + -3x = -105 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = -105 + 15 -3x = -105 + 15 Combine like terms: -105 + 15 = -90 -3x = -90 Divide each side by '-3'. x = 30 Simplifying x = 30
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