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Simplifying 4(x + 3) = -5(3x + -10) Reorder the terms: 4(3 + x) = -5(3x + -10) (3 * 4 + x * 4) = -5(3x + -10) (12 + 4x) = -5(3x + -10) Reorder the terms: 12 + 4x = -5(-10 + 3x) 12 + 4x = (-10 * -5 + 3x * -5) 12 + 4x = (50 + -15x) Solving 12 + 4x = 50 + -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. 12 + 4x + 15x = 50 + -15x + 15x Combine like terms: 4x + 15x = 19x 12 + 19x = 50 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + 19x = 50 + 0 12 + 19x = 50 Add '-12' to each side of the equation. 12 + -12 + 19x = 50 + -12 Combine like terms: 12 + -12 = 0 0 + 19x = 50 + -12 19x = 50 + -12 Combine like terms: 50 + -12 = 38 19x = 38 Divide each side by '19'. x = 2 Simplifying x = 2
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