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Simplifying 4.9(x + 3.3) = -2.8(6.8x + 6.9) + 2.92 Reorder the terms: 4.9(3.3 + x) = -2.8(6.8x + 6.9) + 2.92 (3.3 * 4.9 + x * 4.9) = -2.8(6.8x + 6.9) + 2.92 (16.17 + 4.9x) = -2.8(6.8x + 6.9) + 2.92 Reorder the terms: 16.17 + 4.9x = -2.8(6.9 + 6.8x) + 2.92 16.17 + 4.9x = (6.9 * -2.8 + 6.8x * -2.8) + 2.92 16.17 + 4.9x = (-19.32 + -19.04x) + 2.92 Reorder the terms: 16.17 + 4.9x = -19.32 + 2.92 + -19.04x Combine like terms: -19.32 + 2.92 = -16.4 16.17 + 4.9x = -16.4 + -19.04x Solving 16.17 + 4.9x = -16.4 + -19.04x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19.04x' to each side of the equation. 16.17 + 4.9x + 19.04x = -16.4 + -19.04x + 19.04x Combine like terms: 4.9x + 19.04x = 23.94x 16.17 + 23.94x = -16.4 + -19.04x + 19.04x Combine like terms: -19.04x + 19.04x = 0.00 16.17 + 23.94x = -16.4 + 0.00 16.17 + 23.94x = -16.4 Add '-16.17' to each side of the equation. 16.17 + -16.17 + 23.94x = -16.4 + -16.17 Combine like terms: 16.17 + -16.17 = 0.00 0.00 + 23.94x = -16.4 + -16.17 23.94x = -16.4 + -16.17 Combine like terms: -16.4 + -16.17 = -32.57 23.94x = -32.57 Divide each side by '23.94'. x = -1.360484545 Simplifying x = -1.360484545
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