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Simplifying (-2.5x + 1.14) + -1(0.04x + -0.5) = a Reorder the terms: (1.14 + -2.5x) + -1(0.04x + -0.5) = a Remove parenthesis around (1.14 + -2.5x) 1.14 + -2.5x + -1(0.04x + -0.5) = a Reorder the terms: 1.14 + -2.5x + -1(-0.5 + 0.04x) = a 1.14 + -2.5x + (-0.5 * -1 + 0.04x * -1) = a 1.14 + -2.5x + (0.5 + -0.04x) = a Reorder the terms: 1.14 + 0.5 + -2.5x + -0.04x = a Combine like terms: 1.14 + 0.5 = 1.64 1.64 + -2.5x + -0.04x = a Combine like terms: -2.5x + -0.04x = -2.54x 1.64 + -2.54x = a Solving 1.64 + -2.54x = a Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.64' to each side of the equation. 1.64 + -1.64 + -2.54x = -1.64 + a Combine like terms: 1.64 + -1.64 = 0.00 0.00 + -2.54x = -1.64 + a -2.54x = -1.64 + a Divide each side by '-2.54'. x = 0.6456692913 + -0.3937007874a Simplifying x = 0.6456692913 + -0.3937007874a
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