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Simplifying (0.5x + 5) + -1 = -0.3(3x + -4) Reorder the terms: (5 + 0.5x) + -1 = -0.3(3x + -4) Remove parenthesis around (5 + 0.5x) 5 + 0.5x + -1 = -0.3(3x + -4) Reorder the terms: 5 + -1 + 0.5x = -0.3(3x + -4) Combine like terms: 5 + -1 = 4 4 + 0.5x = -0.3(3x + -4) Reorder the terms: 4 + 0.5x = -0.3(-4 + 3x) 4 + 0.5x = (-4 * -0.3 + 3x * -0.3) 4 + 0.5x = (1.2 + -0.9x) Solving 4 + 0.5x = 1.2 + -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. 4 + 0.5x + 0.9x = 1.2 + -0.9x + 0.9x Combine like terms: 0.5x + 0.9x = 1.4x 4 + 1.4x = 1.2 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 4 + 1.4x = 1.2 + 0.0 4 + 1.4x = 1.2 Add '-4' to each side of the equation. 4 + -4 + 1.4x = 1.2 + -4 Combine like terms: 4 + -4 = 0 0 + 1.4x = 1.2 + -4 1.4x = 1.2 + -4 Combine like terms: 1.2 + -4 = -2.8 1.4x = -2.8 Divide each side by '1.4'. x = -2 Simplifying x = -2
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