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Simplifying -4(x + -5) + 43 = 3(5x + 2) Reorder the terms: -4(-5 + x) + 43 = 3(5x + 2) (-5 * -4 + x * -4) + 43 = 3(5x + 2) (20 + -4x) + 43 = 3(5x + 2) Reorder the terms: 20 + 43 + -4x = 3(5x + 2) Combine like terms: 20 + 43 = 63 63 + -4x = 3(5x + 2) Reorder the terms: 63 + -4x = 3(2 + 5x) 63 + -4x = (2 * 3 + 5x * 3) 63 + -4x = (6 + 15x) Solving 63 + -4x = 6 + 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. 63 + -4x + -15x = 6 + 15x + -15x Combine like terms: -4x + -15x = -19x 63 + -19x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 63 + -19x = 6 + 0 63 + -19x = 6 Add '-63' to each side of the equation. 63 + -63 + -19x = 6 + -63 Combine like terms: 63 + -63 = 0 0 + -19x = 6 + -63 -19x = 6 + -63 Combine like terms: 6 + -63 = -57 -19x = -57 Divide each side by '-19'. x = 3 Simplifying x = 3
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