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Simplifying 0.9x + -16 = 1.3x + -18 Reorder the terms: -16 + 0.9x = 1.3x + -18 Reorder the terms: -16 + 0.9x = -18 + 1.3x Solving -16 + 0.9x = -18 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -16 + 0.9x + -1.3x = -18 + 1.3x + -1.3x Combine like terms: 0.9x + -1.3x = -0.4x -16 + -0.4x = -18 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -16 + -0.4x = -18 + 0.0 -16 + -0.4x = -18 Add '16' to each side of the equation. -16 + 16 + -0.4x = -18 + 16 Combine like terms: -16 + 16 = 0 0 + -0.4x = -18 + 16 -0.4x = -18 + 16 Combine like terms: -18 + 16 = -2 -0.4x = -2 Divide each side by '-0.4'. x = 5 Simplifying x = 5
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