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Simplifying 4 + -3(6x + -4) + 3x = 2(x + -8) + 30x Reorder the terms: 4 + -3(-4 + 6x) + 3x = 2(x + -8) + 30x 4 + (-4 * -3 + 6x * -3) + 3x = 2(x + -8) + 30x 4 + (12 + -18x) + 3x = 2(x + -8) + 30x Combine like terms: 4 + 12 = 16 16 + -18x + 3x = 2(x + -8) + 30x Combine like terms: -18x + 3x = -15x 16 + -15x = 2(x + -8) + 30x Reorder the terms: 16 + -15x = 2(-8 + x) + 30x 16 + -15x = (-8 * 2 + x * 2) + 30x 16 + -15x = (-16 + 2x) + 30x Combine like terms: 2x + 30x = 32x 16 + -15x = -16 + 32x Solving 16 + -15x = -16 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 16 + -15x + -32x = -16 + 32x + -32x Combine like terms: -15x + -32x = -47x 16 + -47x = -16 + 32x + -32x Combine like terms: 32x + -32x = 0 16 + -47x = -16 + 0 16 + -47x = -16 Add '-16' to each side of the equation. 16 + -16 + -47x = -16 + -16 Combine like terms: 16 + -16 = 0 0 + -47x = -16 + -16 -47x = -16 + -16 Combine like terms: -16 + -16 = -32 -47x = -32 Divide each side by '-47'. x = 0.6808510638 Simplifying x = 0.6808510638
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