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Simplifying 0.12(x + -4) + 0.14x = 0.18x + -0.01(70) Reorder the terms: 0.12(-4 + x) + 0.14x = 0.18x + -0.01(70) (-4 * 0.12 + x * 0.12) + 0.14x = 0.18x + -0.01(70) (-0.48 + 0.12x) + 0.14x = 0.18x + -0.01(70) Combine like terms: 0.12x + 0.14x = 0.26x -0.48 + 0.26x = 0.18x + -0.01(70) Multiply -0.01 * 70 -0.48 + 0.26x = 0.18x + -0.7 Reorder the terms: -0.48 + 0.26x = -0.7 + 0.18x Solving -0.48 + 0.26x = -0.7 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. -0.48 + 0.26x + -0.18x = -0.7 + 0.18x + -0.18x Combine like terms: 0.26x + -0.18x = 0.08x -0.48 + 0.08x = -0.7 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 -0.48 + 0.08x = -0.7 + 0.00 -0.48 + 0.08x = -0.7 Add '0.48' to each side of the equation. -0.48 + 0.48 + 0.08x = -0.7 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + 0.08x = -0.7 + 0.48 0.08x = -0.7 + 0.48 Combine like terms: -0.7 + 0.48 = -0.22 0.08x = -0.22 Divide each side by '0.08'. x = -2.75 Simplifying x = -2.75
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