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Simplifying 8 + -1.25(x + -4) = 0.15(x + -1) Reorder the terms: 8 + -1.25(-4 + x) = 0.15(x + -1) 8 + (-4 * -1.25 + x * -1.25) = 0.15(x + -1) 8 + (5 + -1.25x) = 0.15(x + -1) Combine like terms: 8 + 5 = 13 13 + -1.25x = 0.15(x + -1) Reorder the terms: 13 + -1.25x = 0.15(-1 + x) 13 + -1.25x = (-1 * 0.15 + x * 0.15) 13 + -1.25x = (-0.15 + 0.15x) Solving 13 + -1.25x = -0.15 + 0.15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.15x' to each side of the equation. 13 + -1.25x + -0.15x = -0.15 + 0.15x + -0.15x Combine like terms: -1.25x + -0.15x = -1.4x 13 + -1.4x = -0.15 + 0.15x + -0.15x Combine like terms: 0.15x + -0.15x = 0.00 13 + -1.4x = -0.15 + 0.00 13 + -1.4x = -0.15 Add '-13' to each side of the equation. 13 + -13 + -1.4x = -0.15 + -13 Combine like terms: 13 + -13 = 0 0 + -1.4x = -0.15 + -13 -1.4x = -0.15 + -13 Combine like terms: -0.15 + -13 = -13.15 -1.4x = -13.15 Divide each side by '-1.4'. x = 9.392857143 Simplifying x = 9.392857143
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