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Simplifying 1.2x + 10 = 2x + -13 Reorder the terms: 10 + 1.2x = 2x + -13 Reorder the terms: 10 + 1.2x = -13 + 2x Solving 10 + 1.2x = -13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 1.2x + -2x = -13 + 2x + -2x Combine like terms: 1.2x + -2x = -0.8x 10 + -0.8x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + -0.8x = -13 + 0 10 + -0.8x = -13 Add '-10' to each side of the equation. 10 + -10 + -0.8x = -13 + -10 Combine like terms: 10 + -10 = 0 0 + -0.8x = -13 + -10 -0.8x = -13 + -10 Combine like terms: -13 + -10 = -23 -0.8x = -23 Divide each side by '-0.8'. x = 28.75 Simplifying x = 28.75
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