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Simplifying 4.7x + -4.2 + -3.3 = 0.07(2x + -6) Reorder the terms: -4.2 + -3.3 + 4.7x = 0.07(2x + -6) Combine like terms: -4.2 + -3.3 = -7.5 -7.5 + 4.7x = 0.07(2x + -6) Reorder the terms: -7.5 + 4.7x = 0.07(-6 + 2x) -7.5 + 4.7x = (-6 * 0.07 + 2x * 0.07) -7.5 + 4.7x = (-0.42 + 0.14x) Solving -7.5 + 4.7x = -0.42 + 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. -7.5 + 4.7x + -0.14x = -0.42 + 0.14x + -0.14x Combine like terms: 4.7x + -0.14x = 4.56x -7.5 + 4.56x = -0.42 + 0.14x + -0.14x Combine like terms: 0.14x + -0.14x = 0.00 -7.5 + 4.56x = -0.42 + 0.00 -7.5 + 4.56x = -0.42 Add '7.5' to each side of the equation. -7.5 + 7.5 + 4.56x = -0.42 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 4.56x = -0.42 + 7.5 4.56x = -0.42 + 7.5 Combine like terms: -0.42 + 7.5 = 7.08 4.56x = 7.08 Divide each side by '4.56'. x = 1.552631579 Simplifying x = 1.552631579
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