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Simplifying 0.5(x + -2) + 2 = 0.37(3x + -4) Reorder the terms: 0.5(-2 + x) + 2 = 0.37(3x + -4) (-2 * 0.5 + x * 0.5) + 2 = 0.37(3x + -4) (-1 + 0.5x) + 2 = 0.37(3x + -4) Reorder the terms: -1 + 2 + 0.5x = 0.37(3x + -4) Combine like terms: -1 + 2 = 1 1 + 0.5x = 0.37(3x + -4) Reorder the terms: 1 + 0.5x = 0.37(-4 + 3x) 1 + 0.5x = (-4 * 0.37 + 3x * 0.37) 1 + 0.5x = (-1.48 + 1.11x) Solving 1 + 0.5x = -1.48 + 1.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.11x' to each side of the equation. 1 + 0.5x + -1.11x = -1.48 + 1.11x + -1.11x Combine like terms: 0.5x + -1.11x = -0.61x 1 + -0.61x = -1.48 + 1.11x + -1.11x Combine like terms: 1.11x + -1.11x = 0.00 1 + -0.61x = -1.48 + 0.00 1 + -0.61x = -1.48 Add '-1' to each side of the equation. 1 + -1 + -0.61x = -1.48 + -1 Combine like terms: 1 + -1 = 0 0 + -0.61x = -1.48 + -1 -0.61x = -1.48 + -1 Combine like terms: -1.48 + -1 = -2.48 -0.61x = -2.48 Divide each side by '-0.61'. x = 4.06557377 Simplifying x = 4.06557377
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