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Simplifying 3(4x + -3) + 28 = -8(x + -4) + 15x + -3 Reorder the terms: 3(-3 + 4x) + 28 = -8(x + -4) + 15x + -3 (-3 * 3 + 4x * 3) + 28 = -8(x + -4) + 15x + -3 (-9 + 12x) + 28 = -8(x + -4) + 15x + -3 Reorder the terms: -9 + 28 + 12x = -8(x + -4) + 15x + -3 Combine like terms: -9 + 28 = 19 19 + 12x = -8(x + -4) + 15x + -3 Reorder the terms: 19 + 12x = -8(-4 + x) + 15x + -3 19 + 12x = (-4 * -8 + x * -8) + 15x + -3 19 + 12x = (32 + -8x) + 15x + -3 Reorder the terms: 19 + 12x = 32 + -3 + -8x + 15x Combine like terms: 32 + -3 = 29 19 + 12x = 29 + -8x + 15x Combine like terms: -8x + 15x = 7x 19 + 12x = 29 + 7x Solving 19 + 12x = 29 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 19 + 12x + -7x = 29 + 7x + -7x Combine like terms: 12x + -7x = 5x 19 + 5x = 29 + 7x + -7x Combine like terms: 7x + -7x = 0 19 + 5x = 29 + 0 19 + 5x = 29 Add '-19' to each side of the equation. 19 + -19 + 5x = 29 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 29 + -19 5x = 29 + -19 Combine like terms: 29 + -19 = 10 5x = 10 Divide each side by '5'. x = 2 Simplifying x = 2
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