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Simplifying 0.5(x + -1) + -0.6(x + -4) = 0.16(3x + -1) Reorder the terms: 0.5(-1 + x) + -0.6(x + -4) = 0.16(3x + -1) (-1 * 0.5 + x * 0.5) + -0.6(x + -4) = 0.16(3x + -1) (-0.5 + 0.5x) + -0.6(x + -4) = 0.16(3x + -1) Reorder the terms: -0.5 + 0.5x + -0.6(-4 + x) = 0.16(3x + -1) -0.5 + 0.5x + (-4 * -0.6 + x * -0.6) = 0.16(3x + -1) -0.5 + 0.5x + (2.4 + -0.6x) = 0.16(3x + -1) Reorder the terms: -0.5 + 2.4 + 0.5x + -0.6x = 0.16(3x + -1) Combine like terms: -0.5 + 2.4 = 1.9 1.9 + 0.5x + -0.6x = 0.16(3x + -1) Combine like terms: 0.5x + -0.6x = -0.1x 1.9 + -0.1x = 0.16(3x + -1) Reorder the terms: 1.9 + -0.1x = 0.16(-1 + 3x) 1.9 + -0.1x = (-1 * 0.16 + 3x * 0.16) 1.9 + -0.1x = (-0.16 + 0.48x) Solving 1.9 + -0.1x = -0.16 + 0.48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.48x' to each side of the equation. 1.9 + -0.1x + -0.48x = -0.16 + 0.48x + -0.48x Combine like terms: -0.1x + -0.48x = -0.58x 1.9 + -0.58x = -0.16 + 0.48x + -0.48x Combine like terms: 0.48x + -0.48x = 0.00 1.9 + -0.58x = -0.16 + 0.00 1.9 + -0.58x = -0.16 Add '-1.9' to each side of the equation. 1.9 + -1.9 + -0.58x = -0.16 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + -0.58x = -0.16 + -1.9 -0.58x = -0.16 + -1.9 Combine like terms: -0.16 + -1.9 = -2.06 -0.58x = -2.06 Divide each side by '-0.58'. x = 3.551724138 Simplifying x = 3.551724138
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