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Simplifying 0.8(x + -1.8) + 0.3x = 0.9(x + -0.7) + -0.07 Reorder the terms: 0.8(-1.8 + x) + 0.3x = 0.9(x + -0.7) + -0.07 (-1.8 * 0.8 + x * 0.8) + 0.3x = 0.9(x + -0.7) + -0.07 (-1.44 + 0.8x) + 0.3x = 0.9(x + -0.7) + -0.07 Combine like terms: 0.8x + 0.3x = 1.1x -1.44 + 1.1x = 0.9(x + -0.7) + -0.07 Reorder the terms: -1.44 + 1.1x = 0.9(-0.7 + x) + -0.07 -1.44 + 1.1x = (-0.7 * 0.9 + x * 0.9) + -0.07 -1.44 + 1.1x = (-0.63 + 0.9x) + -0.07 Reorder the terms: -1.44 + 1.1x = -0.63 + -0.07 + 0.9x Combine like terms: -0.63 + -0.07 = -0.7 -1.44 + 1.1x = -0.7 + 0.9x Solving -1.44 + 1.1x = -0.7 + 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. -1.44 + 1.1x + -0.9x = -0.7 + 0.9x + -0.9x Combine like terms: 1.1x + -0.9x = 0.2x -1.44 + 0.2x = -0.7 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -1.44 + 0.2x = -0.7 + 0.0 -1.44 + 0.2x = -0.7 Add '1.44' to each side of the equation. -1.44 + 1.44 + 0.2x = -0.7 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 0.2x = -0.7 + 1.44 0.2x = -0.7 + 1.44 Combine like terms: -0.7 + 1.44 = 0.74 0.2x = 0.74 Divide each side by '0.2'. x = 3.7 Simplifying x = 3.7
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