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Simplifying 0.1x + 1.5 = 0.14(x + 5) Reorder the terms: 1.5 + 0.1x = 0.14(x + 5) Reorder the terms: 1.5 + 0.1x = 0.14(5 + x) 1.5 + 0.1x = (5 * 0.14 + x * 0.14) 1.5 + 0.1x = (0.7 + 0.14x) Solving 1.5 + 0.1x = 0.7 + 0.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.14x' to each side of the equation. 1.5 + 0.1x + -0.14x = 0.7 + 0.14x + -0.14x Combine like terms: 0.1x + -0.14x = -0.04x 1.5 + -0.04x = 0.7 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 1.5 + -0.04x = 0.7 + 0.00 1.5 + -0.04x = 0.7 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -0.04x = 0.7 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.04x = 0.7 + -1.5 -0.04x = 0.7 + -1.5 Combine like terms: 0.7 + -1.5 = -0.8 -0.04x = -0.8 Divide each side by '-0.04'. x = 20 Simplifying x = 20
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