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Simplifying 5z + 8 + 3x + -1x + 5 = 6x + -3 Reorder the terms: 8 + 5 + 3x + -1x + 5z = 6x + -3 Combine like terms: 8 + 5 = 13 13 + 3x + -1x + 5z = 6x + -3 Combine like terms: 3x + -1x = 2x 13 + 2x + 5z = 6x + -3 Reorder the terms: 13 + 2x + 5z = -3 + 6x Solving 13 + 2x + 5z = -3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 13 + 2x + -6x + 5z = -3 + 6x + -6x Combine like terms: 2x + -6x = -4x 13 + -4x + 5z = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 13 + -4x + 5z = -3 + 0 13 + -4x + 5z = -3 Add '-13' to each side of the equation. 13 + -4x + -13 + 5z = -3 + -13 Reorder the terms: 13 + -13 + -4x + 5z = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -4x + 5z = -3 + -13 -4x + 5z = -3 + -13 Combine like terms: -3 + -13 = -16 -4x + 5z = -16 Add '-5z' to each side of the equation. -4x + 5z + -5z = -16 + -5z Combine like terms: 5z + -5z = 0 -4x + 0 = -16 + -5z -4x = -16 + -5z Divide each side by '-4'. x = 4 + 1.25z Simplifying x = 4 + 1.25z
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