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Simplifying 8z + -3(0.5 + 10x) = -2 + -22.4x 8z + (0.5 * -3 + 10x * -3) = -2 + -22.4x 8z + (-1.5 + -30x) = -2 + -22.4x Reorder the terms: -1.5 + -30x + 8z = -2 + -22.4x Solving -1.5 + -30x + 8z = -2 + -22.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22.4x' to each side of the equation. -1.5 + -30x + 22.4x + 8z = -2 + -22.4x + 22.4x Combine like terms: -30x + 22.4x = -7.6x -1.5 + -7.6x + 8z = -2 + -22.4x + 22.4x Combine like terms: -22.4x + 22.4x = 0.0 -1.5 + -7.6x + 8z = -2 + 0.0 -1.5 + -7.6x + 8z = -2 Add '1.5' to each side of the equation. -1.5 + -7.6x + 1.5 + 8z = -2 + 1.5 Reorder the terms: -1.5 + 1.5 + -7.6x + 8z = -2 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + -7.6x + 8z = -2 + 1.5 -7.6x + 8z = -2 + 1.5 Combine like terms: -2 + 1.5 = -0.5 -7.6x + 8z = -0.5 Add '-8z' to each side of the equation. -7.6x + 8z + -8z = -0.5 + -8z Combine like terms: 8z + -8z = 0 -7.6x + 0 = -0.5 + -8z -7.6x = -0.5 + -8z Divide each side by '-7.6'. x = 0.06578947368 + 1.052631579z Simplifying x = 0.06578947368 + 1.052631579z
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