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Simplifying 7(4x + -2) + -4(3x + -12) = 3(5x + 3) + -3 Reorder the terms: 7(-2 + 4x) + -4(3x + -12) = 3(5x + 3) + -3 (-2 * 7 + 4x * 7) + -4(3x + -12) = 3(5x + 3) + -3 (-14 + 28x) + -4(3x + -12) = 3(5x + 3) + -3 Reorder the terms: -14 + 28x + -4(-12 + 3x) = 3(5x + 3) + -3 -14 + 28x + (-12 * -4 + 3x * -4) = 3(5x + 3) + -3 -14 + 28x + (48 + -12x) = 3(5x + 3) + -3 Reorder the terms: -14 + 48 + 28x + -12x = 3(5x + 3) + -3 Combine like terms: -14 + 48 = 34 34 + 28x + -12x = 3(5x + 3) + -3 Combine like terms: 28x + -12x = 16x 34 + 16x = 3(5x + 3) + -3 Reorder the terms: 34 + 16x = 3(3 + 5x) + -3 34 + 16x = (3 * 3 + 5x * 3) + -3 34 + 16x = (9 + 15x) + -3 Reorder the terms: 34 + 16x = 9 + -3 + 15x Combine like terms: 9 + -3 = 6 34 + 16x = 6 + 15x Solving 34 + 16x = 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. 34 + 16x + -15x = 6 + 15x + -15x Combine like terms: 16x + -15x = 1x 34 + 1x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 34 + 1x = 6 + 0 34 + 1x = 6 Add '-34' to each side of the equation. 34 + -34 + 1x = 6 + -34 Combine like terms: 34 + -34 = 0 0 + 1x = 6 + -34 1x = 6 + -34 Combine like terms: 6 + -34 = -28 1x = -28 Divide each side by '1'. x = -28 Simplifying x = -28
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