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Simplifying 28 = 8(x + -2) + -3(5x + -3) Reorder the terms: 28 = 8(-2 + x) + -3(5x + -3) 28 = (-2 * 8 + x * 8) + -3(5x + -3) 28 = (-16 + 8x) + -3(5x + -3) Reorder the terms: 28 = -16 + 8x + -3(-3 + 5x) 28 = -16 + 8x + (-3 * -3 + 5x * -3) 28 = -16 + 8x + (9 + -15x) Reorder the terms: 28 = -16 + 9 + 8x + -15x Combine like terms: -16 + 9 = -7 28 = -7 + 8x + -15x Combine like terms: 8x + -15x = -7x 28 = -7 + -7x Solving 28 = -7 + -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. 28 + 7x = -7 + -7x + 7x Combine like terms: -7x + 7x = 0 28 + 7x = -7 + 0 28 + 7x = -7 Add '-28' to each side of the equation. 28 + -28 + 7x = -7 + -28 Combine like terms: 28 + -28 = 0 0 + 7x = -7 + -28 7x = -7 + -28 Combine like terms: -7 + -28 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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