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Simplifying 4(x + 3) = -3(5x + 2) + -5 Reorder the terms: 4(3 + x) = -3(5x + 2) + -5 (3 * 4 + x * 4) = -3(5x + 2) + -5 (12 + 4x) = -3(5x + 2) + -5 Reorder the terms: 12 + 4x = -3(2 + 5x) + -5 12 + 4x = (2 * -3 + 5x * -3) + -5 12 + 4x = (-6 + -15x) + -5 Reorder the terms: 12 + 4x = -6 + -5 + -15x Combine like terms: -6 + -5 = -11 12 + 4x = -11 + -15x Solving 12 + 4x = -11 + -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 = -11 + -15x + 15x Combine like terms: 4x + 15x = 19x 12 + 19x = -11 + -15x + 15x Combine like terms: -15x + 15x = 0 12 + 19x = -11 + 0 12 + 19x = -11 Add '-12' to each side of the equation. 12 + -12 + 19x = -11 + -12 Combine like terms: 12 + -12 = 0 0 + 19x = -11 + -12 19x = -11 + -12 Combine like terms: -11 + -12 = -23 19x = -23 Divide each side by '19'. x = -1.210526316 Simplifying x = -1.210526316
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