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Simplifying 3(5x + -3) + -4(2z + 1) = 5x + -2 Reorder the terms: 3(-3 + 5x) + -4(2z + 1) = 5x + -2 (-3 * 3 + 5x * 3) + -4(2z + 1) = 5x + -2 (-9 + 15x) + -4(2z + 1) = 5x + -2 Reorder the terms: -9 + 15x + -4(1 + 2z) = 5x + -2 -9 + 15x + (1 * -4 + 2z * -4) = 5x + -2 -9 + 15x + (-4 + -8z) = 5x + -2 Reorder the terms: -9 + -4 + 15x + -8z = 5x + -2 Combine like terms: -9 + -4 = -13 -13 + 15x + -8z = 5x + -2 Reorder the terms: -13 + 15x + -8z = -2 + 5x Solving -13 + 15x + -8z = -2 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -13 + 15x + -5x + -8z = -2 + 5x + -5x Combine like terms: 15x + -5x = 10x -13 + 10x + -8z = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -13 + 10x + -8z = -2 + 0 -13 + 10x + -8z = -2 Add '13' to each side of the equation. -13 + 10x + 13 + -8z = -2 + 13 Reorder the terms: -13 + 13 + 10x + -8z = -2 + 13 Combine like terms: -13 + 13 = 0 0 + 10x + -8z = -2 + 13 10x + -8z = -2 + 13 Combine like terms: -2 + 13 = 11 10x + -8z = 11 Add '8z' to each side of the equation. 10x + -8z + 8z = 11 + 8z Combine like terms: -8z + 8z = 0 10x + 0 = 11 + 8z 10x = 11 + 8z Divide each side by '10'. x = 1.1 + 0.8z Simplifying x = 1.1 + 0.8z
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