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Simplifying -0.5x + 7 = 0.9(x + -3) Reorder the terms: 7 + -0.5x = 0.9(x + -3) Reorder the terms: 7 + -0.5x = 0.9(-3 + x) 7 + -0.5x = (-3 * 0.9 + x * 0.9) 7 + -0.5x = (-2.7 + 0.9x) Solving 7 + -0.5x = -2.7 + 0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.9x' to each side of the equation. 7 + -0.5x + -0.9x = -2.7 + 0.9x + -0.9x Combine like terms: -0.5x + -0.9x = -1.4x 7 + -1.4x = -2.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 7 + -1.4x = -2.7 + 0.0 7 + -1.4x = -2.7 Add '-7' to each side of the equation. 7 + -7 + -1.4x = -2.7 + -7 Combine like terms: 7 + -7 = 0 0 + -1.4x = -2.7 + -7 -1.4x = -2.7 + -7 Combine like terms: -2.7 + -7 = -9.7 -1.4x = -9.7 Divide each side by '-1.4'. x = 6.928571429 Simplifying x = 6.928571429
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