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Simplifying 2x + -5 + -3(2x + -7) = 2(3x + -5) + -4 Reorder the terms: 2x + -5 + -3(-7 + 2x) = 2(3x + -5) + -4 2x + -5 + (-7 * -3 + 2x * -3) = 2(3x + -5) + -4 2x + -5 + (21 + -6x) = 2(3x + -5) + -4 Reorder the terms: -5 + 21 + 2x + -6x = 2(3x + -5) + -4 Combine like terms: -5 + 21 = 16 16 + 2x + -6x = 2(3x + -5) + -4 Combine like terms: 2x + -6x = -4x 16 + -4x = 2(3x + -5) + -4 Reorder the terms: 16 + -4x = 2(-5 + 3x) + -4 16 + -4x = (-5 * 2 + 3x * 2) + -4 16 + -4x = (-10 + 6x) + -4 Reorder the terms: 16 + -4x = -10 + -4 + 6x Combine like terms: -10 + -4 = -14 16 + -4x = -14 + 6x Solving 16 + -4x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 16 + -4x + -6x = -14 + 6x + -6x Combine like terms: -4x + -6x = -10x 16 + -10x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 16 + -10x = -14 + 0 16 + -10x = -14 Add '-16' to each side of the equation. 16 + -16 + -10x = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -10x = -14 + -16 -10x = -14 + -16 Combine like terms: -14 + -16 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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