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Simplifying 10.5 = 4.1x + -2(1.3x + -4) Reorder the terms: 10.5 = 4.1x + -2(-4 + 1.3x) 10.5 = 4.1x + (-4 * -2 + 1.3x * -2) 10.5 = 4.1x + (8 + -2.6x) Reorder the terms: 10.5 = 8 + 4.1x + -2.6x Combine like terms: 4.1x + -2.6x = 1.5x 10.5 = 8 + 1.5x Solving 10.5 = 8 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 10.5 + -1.5x = 8 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 10.5 + -1.5x = 8 + 0.0 10.5 + -1.5x = 8 Add '-10.5' to each side of the equation. 10.5 + -10.5 + -1.5x = 8 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + -1.5x = 8 + -10.5 -1.5x = 8 + -10.5 Combine like terms: 8 + -10.5 = -2.5 -1.5x = -2.5 Divide each side by '-1.5'. x = 1.666666667 Simplifying x = 1.666666667
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