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Simplifying -5(x + -3) + -2x = 46 + -4(x + 1) Reorder the terms: -5(-3 + x) + -2x = 46 + -4(x + 1) (-3 * -5 + x * -5) + -2x = 46 + -4(x + 1) (15 + -5x) + -2x = 46 + -4(x + 1) Combine like terms: -5x + -2x = -7x 15 + -7x = 46 + -4(x + 1) Reorder the terms: 15 + -7x = 46 + -4(1 + x) 15 + -7x = 46 + (1 * -4 + x * -4) 15 + -7x = 46 + (-4 + -4x) Combine like terms: 46 + -4 = 42 15 + -7x = 42 + -4x Solving 15 + -7x = 42 + -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 + -7x + 4x = 42 + -4x + 4x Combine like terms: -7x + 4x = -3x 15 + -3x = 42 + -4x + 4x Combine like terms: -4x + 4x = 0 15 + -3x = 42 + 0 15 + -3x = 42 Add '-15' to each side of the equation. 15 + -15 + -3x = 42 + -15 Combine like terms: 15 + -15 = 0 0 + -3x = 42 + -15 -3x = 42 + -15 Combine like terms: 42 + -15 = 27 -3x = 27 Divide each side by '-3'. x = -9 Simplifying x = -9
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