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Simplifying x + 1 = 0.5(4x + -6) Reorder the terms: 1 + x = 0.5(4x + -6) Reorder the terms: 1 + x = 0.5(-6 + 4x) 1 + x = (-6 * 0.5 + 4x * 0.5) 1 + x = (-3 + 2x) Solving 1 + x = -3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 1 + x + -2x = -3 + 2x + -2x Combine like terms: x + -2x = -1x 1 + -1x = -3 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + -1x = -3 + 0 1 + -1x = -3 Add '-1' to each side of the equation. 1 + -1 + -1x = -3 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = -3 + -1 -1x = -3 + -1 Combine like terms: -3 + -1 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4
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