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Simplifying 6.1 + -0.6[8x] = 0.7x + 0.3[x + -3] Remove brackets around [8x] 6.1 + -0.6 * 8x = 0.7x + 0.3[x + -3] Multiply -0.6 * 8 6.1 + -4.8x = 0.7x + 0.3[x + -3] Reorder the terms: 6.1 + -4.8x = 0.7x + 0.3[-3 + x] 6.1 + -4.8x = 0.7x + [-3 * 0.3 + x * 0.3] 6.1 + -4.8x = 0.7x + [-0.9 + 0.3x] Reorder the terms: 6.1 + -4.8x = -0.9 + 0.7x + 0.3x Combine like terms: 0.7x + 0.3x = 1x 6.1 + -4.8x = -0.9 + 1x Solving 6.1 + -4.8x = -0.9 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6.1 + -4.8x + -1x = -0.9 + 1x + -1x Combine like terms: -4.8x + -1x = -5.8x 6.1 + -5.8x = -0.9 + 1x + -1x Combine like terms: 1x + -1x = 0 6.1 + -5.8x = -0.9 + 0 6.1 + -5.8x = -0.9 Add '-6.1' to each side of the equation. 6.1 + -6.1 + -5.8x = -0.9 + -6.1 Combine like terms: 6.1 + -6.1 = 0.0 0.0 + -5.8x = -0.9 + -6.1 -5.8x = -0.9 + -6.1 Combine like terms: -0.9 + -6.1 = -7 -5.8x = -7 Divide each side by '-5.8'. x = 1.206896552 Simplifying x = 1.206896552
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