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Simplifying 2x + -3(x + -7) = -5(2 + -3x) Reorder the terms: 2x + -3(-7 + x) = -5(2 + -3x) 2x + (-7 * -3 + x * -3) = -5(2 + -3x) 2x + (21 + -3x) = -5(2 + -3x) Reorder the terms: 21 + 2x + -3x = -5(2 + -3x) Combine like terms: 2x + -3x = -1x 21 + -1x = -5(2 + -3x) 21 + -1x = (2 * -5 + -3x * -5) 21 + -1x = (-10 + 15x) Solving 21 + -1x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 21 + -1x + -15x = -10 + 15x + -15x Combine like terms: -1x + -15x = -16x 21 + -16x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 21 + -16x = -10 + 0 21 + -16x = -10 Add '-21' to each side of the equation. 21 + -21 + -16x = -10 + -21 Combine like terms: 21 + -21 = 0 0 + -16x = -10 + -21 -16x = -10 + -21 Combine like terms: -10 + -21 = -31 -16x = -31 Divide each side by '-16'. x = 1.9375 Simplifying x = 1.9375
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