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Simplifying 0.3(x + 2) = 8x + -16(1 + -1x) + -7 Reorder the terms: 0.3(2 + x) = 8x + -16(1 + -1x) + -7 (2 * 0.3 + x * 0.3) = 8x + -16(1 + -1x) + -7 (0.6 + 0.3x) = 8x + -16(1 + -1x) + -7 0.6 + 0.3x = 8x + (1 * -16 + -1x * -16) + -7 0.6 + 0.3x = 8x + (-16 + 16x) + -7 Reorder the terms: 0.6 + 0.3x = -16 + -7 + 8x + 16x Combine like terms: -16 + -7 = -23 0.6 + 0.3x = -23 + 8x + 16x Combine like terms: 8x + 16x = 24x 0.6 + 0.3x = -23 + 24x Solving 0.6 + 0.3x = -23 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 0.6 + 0.3x + -24x = -23 + 24x + -24x Combine like terms: 0.3x + -24x = -23.7x 0.6 + -23.7x = -23 + 24x + -24x Combine like terms: 24x + -24x = 0 0.6 + -23.7x = -23 + 0 0.6 + -23.7x = -23 Add '-0.6' to each side of the equation. 0.6 + -0.6 + -23.7x = -23 + -0.6 Combine like terms: 0.6 + -0.6 = 0.0 0.0 + -23.7x = -23 + -0.6 -23.7x = -23 + -0.6 Combine like terms: -23 + -0.6 = -23.6 -23.7x = -23.6 Divide each side by '-23.7'. x = 0.9957805907 Simplifying x = 0.9957805907
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