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Simplifying x + -3(x + -5) = 4(5x) + -6(x + 5) Reorder the terms: x + -3(-5 + x) = 4(5x) + -6(x + 5) x + (-5 * -3 + x * -3) = 4(5x) + -6(x + 5) x + (15 + -3x) = 4(5x) + -6(x + 5) Reorder the terms: 15 + x + -3x = 4(5x) + -6(x + 5) Combine like terms: x + -3x = -2x 15 + -2x = 4(5x) + -6(x + 5) Remove parenthesis around (5x) 15 + -2x = 4 * 5x + -6(x + 5) Multiply 4 * 5 15 + -2x = 20x + -6(x + 5) Reorder the terms: 15 + -2x = 20x + -6(5 + x) 15 + -2x = 20x + (5 * -6 + x * -6) 15 + -2x = 20x + (-30 + -6x) Reorder the terms: 15 + -2x = -30 + 20x + -6x Combine like terms: 20x + -6x = 14x 15 + -2x = -30 + 14x Solving 15 + -2x = -30 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + -2x + -14x = -30 + 14x + -14x Combine like terms: -2x + -14x = -16x 15 + -16x = -30 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -16x = -30 + 0 15 + -16x = -30 Add '-15' to each side of the equation. 15 + -15 + -16x = -30 + -15 Combine like terms: 15 + -15 = 0 0 + -16x = -30 + -15 -16x = -30 + -15 Combine like terms: -30 + -15 = -45 -16x = -45 Divide each side by '-16'. x = 2.8125 Simplifying x = 2.8125
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