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Simplifying 2(3x + 4) + -15x = 12 + -1(4x + 5) + 3 Reorder the terms: 2(4 + 3x) + -15x = 12 + -1(4x + 5) + 3 (4 * 2 + 3x * 2) + -15x = 12 + -1(4x + 5) + 3 (8 + 6x) + -15x = 12 + -1(4x + 5) + 3 Combine like terms: 6x + -15x = -9x 8 + -9x = 12 + -1(4x + 5) + 3 Reorder the terms: 8 + -9x = 12 + -1(5 + 4x) + 3 8 + -9x = 12 + (5 * -1 + 4x * -1) + 3 8 + -9x = 12 + (-5 + -4x) + 3 Reorder the terms: 8 + -9x = 12 + -5 + 3 + -4x Combine like terms: 12 + -5 = 7 8 + -9x = 7 + 3 + -4x Combine like terms: 7 + 3 = 10 8 + -9x = 10 + -4x Solving 8 + -9x = 10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + -9x + 4x = 10 + -4x + 4x Combine like terms: -9x + 4x = -5x 8 + -5x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + -5x = 10 + 0 8 + -5x = 10 Add '-8' to each side of the equation. 8 + -8 + -5x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -5x = 10 + -8 -5x = 10 + -8 Combine like terms: 10 + -8 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4
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